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135054455144 = 2373079917927
BaseRepresentation
bin111110111000111011…
…1110111000101101000
3110220121011210011121012
41331301313313011220
54203042420031034
6142013153403052
712520526633120
oct1756167670550
9426534704535
10135054455144
11523047a0094
1222211569488
13c9740bb5ab
1467728a3c80
1537a6974cce
hex1f71df7168

135054455144 has 64 divisors (see below), whose sum is σ = 290674728960. Its totient is φ = 57626458560.

The previous prime is 135054455101. The next prime is 135054455147. The reversal of 135054455144 is 441554450531.

It is not an unprimeable number, because it can be changed into a prime (135054455147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17033309 + ... + 17041235.

It is an arithmetic number, because the mean of its divisors is an integer number (4541792640).

Almost surely, 2135054455144 is an apocalyptic number.

135054455144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135054455144 is an abundant number, since it is smaller than the sum of its proper divisors (155620273816).

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

135054455144 is a wasteful number, since it uses less digits than its factorization.

135054455144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

The spelling of 135054455144 in words is "one hundred thirty-five billion, fifty-four million, four hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 307 614 991 1228 1982 2149 2456 3964 4298 6937 7927 7928 8596 13874 15854 17192 27748 31708 55489 55496 63416 110978 221956 304237 443912 608474 1216948 2129659 2433589 2433896 4259318 4867178 7855657 8518636 9734356 15711314 17035123 17037272 19468712 31422628 34070246 54989599 62845256 68140492 109979198 136280984 219958396 439916792 2411686699 4823373398 9646746796 16881806893 19293493592 33763613786 67527227572 135054455144