151796630700 has 864 divisors, whose sum is σ = 575720151552. Its totient is φ = 32970240000.

The previous prime is 151796630677. The next prime is 151796630701. The reversal of 151796630700 is 7036697151.

151796630700 is a `hidden beast` number, since 1 + 5 + 1 + 7 + 9 + 6 + 630 + 7 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (151796630701) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1005275625 + ... + 1005275775.

It is an arithmetic number, because the mean of its divisors is an integer number (666342768).

Almost surely, 2^151796630700 is an apocalyptic number.

151796630700 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 151796630700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287860075776).

151796630700 is an abundant number, since it is smaller than the sum of its proper divisors (423923520852).

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

151796630700 is a wasteful number, since it uses less digits than its factorization.

151796630700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 151796630700 in words is "one hundred fifty-one billion, seven hundred ninety-six million, six hundred thirty thousand, seven hundred".