76149152100 has 216 divisors, whose sum is σ = 284643864960. Its totient is φ = 16648727040.

The previous prime is 76149152089. The next prime is 76149152111. The reversal of 76149152100 is 125194167.

76149152100 is a `hidden beast` number, since 7 + 61 + 491 + 5 + 2 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (76149152089) and next prime (76149152111).

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 71 ways as a sum of consecutive naturals, for example, 117865 + ... + 407664.

Almost surely, 2^76149152100 is an apocalyptic number.

76149152100 is a gapful number since it is divisible by the number (70) 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 76149152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142321932480).

76149152100 is an abundant number, since it is smaller than the sum of its proper divisors (208494712860).

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

76149152100 is a wasteful number, since it uses less digits than its factorization.

76149152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525579 (or 525569 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 76149152100 in words is "seventy-six billion, one hundred forty-nine million, one hundred fifty-two thousand, one hundred".