151264268157440 has 320 divisors, whose sum is σ = 372402846870912. Its totient is φ = 58893778944000.

The previous prime is 151264268157437. The next prime is 151264268157491. The reversal of 151264268157440 is 44751862462151.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44061829964 + ... + 44061833396.

Almost surely, 2^{151264268157440} is an apocalyptic number.

151264268157440 is a gapful number since it is divisible by the number (10) 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 151264268157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186201423435456).

151264268157440 is an abundant number, since it is smaller than the sum of its proper divisors (221138578713472).

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

151264268157440 is an equidigital number, since it uses as much as digits as its factorization.

151264268157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 151264268157440 in words is "one hundred fifty-one trillion, two hundred sixty-four billion, two hundred sixty-eight million, one hundred fifty-seven thousand, four hundred forty".