153434012146560 has 96 divisors (see below), whose sum is σ = 529826823213480. Its totient is φ = 40915736570880.

The previous prime is 153434012146483. The next prime is 153434012146601. The reversal of 153434012146560 is 65641210434351.

153434012146560 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 3 + 4 + 0 + 121 + 465 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13318918906 + ... + 13318930425.

Almost surely, 2^{153434012146560} is an apocalyptic number.

153434012146560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153434012146560 is an abundant number, since it is smaller than the sum of its proper divisors (376392811066920).

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

153434012146560 is a wasteful number, since it uses less digits than its factorization.

153434012146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26637849356 (or 26637849341 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 153434012146560 in words is "one hundred fifty-three trillion, four hundred thirty-four billion, twelve million, one hundred forty-six thousand, five hundred sixty".