151566992640 has 864 divisors, whose sum is σ = 631401738240. Its totient is φ = 34093965312.

The previous prime is 151566992627. The next prime is 151566992653. The reversal of 151566992640 is 46299665151.

151566992640 is a `hidden beast` number, since 1 + 51 + 566 + 9 + 9 + 26 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (151566992627) and next prime (151566992653).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145877241 + ... + 145878279.

Almost surely, 2^151566992640 is an apocalyptic number.

151566992640 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 151566992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315700869120).

151566992640 is an abundant number, since it is smaller than the sum of its proper divisors (479834745600).

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

151566992640 is an equidigital number, since it uses as much as digits as its factorization.

151566992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 151566992640 in words is "one hundred fifty-one billion, five hundred sixty-six million, nine hundred ninety-two thousand, six hundred forty".