151249704480 has 1152 divisors, whose sum is σ = 644700446208. Its totient is φ = 31510757376.

The previous prime is 151249704449. The next prime is 151249704491. The reversal of 151249704480 is 84407942151.

151249704480 is a `hidden beast` number, since 1 + 512 + 4 + 97 + 0 + 4 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1338492904 + ... + 1338493016.

It is an arithmetic number, because the mean of its divisors is an integer number (559635804).

Almost surely, 2^151249704480 is an apocalyptic number.

151249704480 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 151249704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322350223104).

151249704480 is an abundant number, since it is smaller than the sum of its proper divisors (493450741728).

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

151249704480 is a wasteful number, since it uses less digits than its factorization.

151249704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 151249704480 in words is "one hundred fifty-one billion, two hundred forty-nine million, seven hundred four thousand, four hundred eighty".