15151630682100 has 144 divisors (see below), whose sum is σ = 47902850021376. Its totient is φ = 3667070832000.

The previous prime is 15151630682099. The next prime is 15151630682107. The reversal of 15151630682100 is 128603615151.

It is a happy number.

It is a super-2 number, since 2×15151630682100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15151630682107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1778946 + ... + 5785145.

It is an arithmetic number, because the mean of its divisors is an integer number (332658680704).

Almost surely, 2^{15151630682100} is an apocalyptic number.

15151630682100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15151630682100 is an abundant number, since it is smaller than the sum of its proper divisors (32751219339276).

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

15151630682100 is a wasteful number, since it uses less digits than its factorization.

15151630682100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564726 (or 7564719 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 15151630682100 in words is "fifteen trillion, one hundred fifty-one billion, six hundred thirty million, six hundred eighty-two thousand, one hundred".