137636997120 has 1152 divisors, whose sum is σ = 593123731200. Its totient is φ = 29652811776.

The previous prime is 137636997119. The next prime is 137636997151. The reversal of 137636997120 is 21799636731.

It is a happy number.

137636997120 is a `hidden beast` number, since 1 + 3 + 76 + 369 + 97 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 698664862 + ... + 698665058.

It is an arithmetic number, because the mean of its divisors is an integer number (514864350).

Almost surely, 2^137636997120 is an apocalyptic number.

137636997120 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 137636997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296561865600).

137636997120 is an abundant number, since it is smaller than the sum of its proper divisors (455486734080).

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

137636997120 is a wasteful number, since it uses less digits than its factorization.

137636997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 137636997120 in words is "one hundred thirty-seven billion, six hundred thirty-six million, nine hundred ninety-seven thousand, one hundred twenty".