151164743400 has 720 divisors, whose sum is σ = 586207480320. Its totient is φ = 36067680000.

The previous prime is 151164743341. The next prime is 151164743417. The reversal of 151164743400 is 4347461151.

151164743400 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 647 + 4 + 3 + 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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 131332825 + ... + 131333975.

It is an arithmetic number, because the mean of its divisors is an integer number (814177056).

Almost surely, 2^151164743400 is an apocalyptic number.

151164743400 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 151164743400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293103740160).

151164743400 is an abundant number, since it is smaller than the sum of its proper divisors (435042736920).

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

151164743400 is a wasteful number, since it uses less digits than its factorization.

151164743400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 151164743400 in words is "one hundred fifty-one billion, one hundred sixty-four million, seven hundred forty-three thousand, four hundred".