154896800256 has 560 divisors, whose sum is σ = 522967027968. Its totient is φ = 45386956800.

The previous prime is 154896800251. The next prime is 154896800257. The reversal of 154896800256 is 652008698451.

154896800256 is a `hidden beast` number, since 1 + 548 + 96 + 8 + 0 + 0 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (154896800251) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 127276960 + ... + 127278176.

Almost surely, 2^154896800256 is an apocalyptic number.

154896800256 is a gapful number since it is divisible by the number (16) 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 154896800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261483513984).

154896800256 is an abundant number, since it is smaller than the sum of its proper divisors (368070227712).

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

154896800256 is an equidigital number, since it uses as much as digits as its factorization.

154896800256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 154896800256 in words is "one hundred fifty-four billion, eight hundred ninety-six million, eight hundred thousand, two hundred fifty-six".