151250561280 has 2880 divisors, whose sum is σ = 753891038208. Its totient is φ = 28028436480.

The previous prime is 151250561279. The next prime is 151250561291. The reversal of 151250561280 is 82165052151.

151250561280 is a `hidden beast` number, since 1 + 5 + 12 + 5 + 0 + 561 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3689038060 + ... + 3689038100.

Almost surely, 2^151250561280 is an apocalyptic number.

151250561280 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 151250561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376945519104).

151250561280 is an abundant number, since it is smaller than the sum of its proper divisors (602640476928).

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

151250561280 is a wasteful number, since it uses less digits than its factorization.

151250561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 151250561280 in words is "one hundred fifty-one billion, two hundred fifty million, five hundred sixty-one thousand, two hundred eighty".