137041666220400 has 180 divisors, whose sum is σ = 443379648098376. Its totient is φ = 36182614912000.

The previous prime is 137041666220377. The next prime is 137041666220423. The reversal of 137041666220400 is 4022666140731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137041666220377) and next prime (137041666220423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6643642 + ... + 17838758.

Almost surely, 2^{137041666220400} is an apocalyptic number.

137041666220400 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 137041666220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221689824049188).

137041666220400 is an abundant number, since it is smaller than the sum of its proper divisors (306337981877976).

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

137041666220400 is a wasteful number, since it uses less digits than its factorization.

137041666220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195340 (or 11195228 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 137041666220400 in words is "one hundred thirty-seven trillion, forty-one billion, six hundred sixty-six million, two hundred twenty thousand, four hundred".