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135625660 = 22517596761
BaseRepresentation
bin10000001010101…
…11101110111100
3100110012111102121
420011113232330
5234210010120
621242532324
73234541042
oct1005275674
9313174377
10135625660
116a614625
12395070a4
1322138291
1414026392
15bd905aa
hex8157bbc

135625660 has 48 divisors (see below), whose sum is σ = 306724320. Its totient is φ = 50186240.

The previous prime is 135625649. The next prime is 135625661. The reversal of 135625660 is 66526531.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135625661) 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, 16680 + ... + 23440.

It is an arithmetic number, because the mean of its divisors is an integer number (6390090).

Almost surely, 2135625660 is an apocalyptic number.

135625660 is a gapful number since it is divisible by the number (10) 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 135625660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153362160).

135625660 is an abundant number, since it is smaller than the sum of its proper divisors (171098660).

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

135625660 is a wasteful number, since it uses less digits than its factorization.

135625660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 135625660 is about 11645.8430351778. The cubic root of 135625660 is about 513.7840543924.

The spelling of 135625660 in words is "one hundred thirty-five million, six hundred twenty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 1003 1180 2006 4012 5015 6761 10030 13522 20060 27044 33805 67610 114937 135220 229874 398899 459748 574685 797798 1149370 1595596 1994495 2298740 3988990 6781283 7977980 13562566 27125132 33906415 67812830 135625660