153400006235264 has 128 divisors (see below), whose sum is σ = 315316288728000. Its totient is φ = 74299640836096.

The previous prime is 153400006235257. The next prime is 153400006235321. The reversal of 153400006235264 is 462532600004351.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908150687 + ... + 908319585.

Almost surely, 2^{153400006235264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153400006235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157658144364000).

153400006235264 is an abundant number, since it is smaller than the sum of its proper divisors (161916282492736).

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

153400006235264 is a wasteful number, since it uses less digits than its factorization.

153400006235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170662 (or 170650 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 153400006235264 in words is "one hundred fifty-three trillion, four hundred billion, six million, two hundred thirty-five thousand, two hundred sixty-four".