151271582400 has 588 divisors, whose sum is σ = 568840815072. Its totient is φ = 39561799680.

The previous prime is 151271582393. The next prime is 151271582417. The reversal of 151271582400 is 4285172151.

It is a happy number.

151271582400 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 71 + 582 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 61817977 + ... + 61820423.

Almost surely, 2^151271582400 is an apocalyptic number.

151271582400 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 151271582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284420407536).

151271582400 is an abundant number, since it is smaller than the sum of its proper divisors (417569232672).

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

151271582400 is an equidigital number, since it uses as much as digits as its factorization.

151271582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 151271582400 in words is "one hundred fifty-one billion, two hundred seventy-one million, five hundred eighty-two thousand, four hundred".