151293542400 has 2160 divisors, whose sum is σ = 745401541248. Its totient is φ = 28311552000.

The previous prime is 151293542357. The next prime is 151293542419. The reversal of 151293542400 is 4245392151.

151293542400 is a `hidden beast` number, since 1 + 51 + 29 + 3 + 542 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3690086380 + ... + 3690086420.

Almost surely, 2^151293542400 is an apocalyptic number.

151293542400 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 151293542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372700770624).

151293542400 is an abundant number, since it is smaller than the sum of its proper divisors (594107998848).

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

151293542400 is a wasteful number, since it uses less digits than its factorization.

151293542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 151293542400 in words is "one hundred fifty-one billion, two hundred ninety-three million, five hundred forty-two thousand, four hundred".