153052256100456 has 192 divisors, whose sum is σ = 458778823776000. Its totient is φ = 45900649105920.

The previous prime is 153052256100433. The next prime is 153052256100461. The reversal of 153052256100456 is 654001652250351.

153052256100456 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 5 + 2 + 25 + 610 + 0 + 4 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29202480 + ... + 34042463.

It is an arithmetic number, because the mean of its divisors is an integer number (2389473040500).

Almost surely, 2^{153052256100456} is an apocalyptic number.

It is an amenable number.

153052256100456 is an abundant number, since it is smaller than the sum of its proper divisors (305726567675544).

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

153052256100456 is a wasteful number, since it uses less digits than its factorization.

153052256100456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63245064 (or 63245057 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 153052256100456 in words is "one hundred fifty-three trillion, fifty-two billion, two hundred fifty-six million, one hundred thousand, four hundred fifty-six".