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135110015456 = 251317366107
BaseRepresentation
bin111110111010100101…
…1110011100111100000
3110220202001022221000112
41331311023303213200
54203201130443311
6142022500310452
712522103116413
oct1756513634740
9426661287015
10135110015456
11523330993a9
12222280a2428
13c982772810
14677a007b7a
1537ab79c28b
hex1f752f39e0

135110015456 has 96 divisors (see below), whose sum is σ = 304363876320. Its totient is φ = 58689435648.

The previous prime is 135110015419. The next prime is 135110015459. The reversal of 135110015456 is 654510011531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135110015459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010755 + ... + 2076861.

It is an arithmetic number, because the mean of its divisors is an integer number (3170457045).

Almost surely, 2135110015456 is an apocalyptic number.

135110015456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135110015456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152181938160).

135110015456 is an abundant number, since it is smaller than the sum of its proper divisors (169253860864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135110015456 is an equidigital number, since it uses as much as digits as its factorization.

135110015456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66181 (or 66139 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

Adding to 135110015456 its reverse (654510011531), we get a palindrome (789620026987).

The spelling of 135110015456 in words is "one hundred thirty-five billion, one hundred ten million, fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 442 544 578 884 1156 1768 2312 3536 3757 4624 4913 7072 7514 9248 9826 15028 19652 30056 39304 60112 63869 66107 78608 120224 127738 132214 157216 255476 264428 510952 528856 859391 1021904 1057712 1123819 1718782 2043808 2115424 2247638 3437564 4495276 6875128 8990552 13750256 14609647 17981104 19104923 27500512 29219294 35962208 38209846 58438588 76419692 116877176 152839384 233754352 248363999 305678768 324783691 467508704 496727998 611357536 649567382 993455996 1299134764 1986911992 2598269528 3973823984 4222187983 5196539056 7947647968 8444375966 10393078112 16888751932 33777503864 67555007728 135110015456