137471120966400 has 1296 divisors, whose sum is σ = 513480137355360. Its totient is φ = 32333207961600.

The previous prime is 137471120966393. The next prime is 137471120966411. The reversal of 137471120966400 is 4669021174731.

It is a super-3 number, since 3×137471120966400³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9127614870 + ... + 9127629930.

Almost surely, 2^{137471120966400} is an apocalyptic number.

137471120966400 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 137471120966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256740068677680).

137471120966400 is an abundant number, since it is smaller than the sum of its proper divisors (376009016388960).

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

137471120966400 is a wasteful number, since it uses less digits than its factorization.

137471120966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15242 (or 15210 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 137471120966400 in words is "one hundred thirty-seven trillion, four hundred seventy-one billion, one hundred twenty million, nine hundred sixty-six thousand, four hundred".