137054001400 has 96 divisors (see below), whose sum is σ = 330941430000. Its totient is φ = 52740357120.

The previous prime is 137054001349. The next prime is 137054001433. The reversal of 137054001400 is 4100450731.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554551 + ... + 762649.

Almost surely, 2^137054001400 is an apocalyptic number.

137054001400 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 137054001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165470715000).

137054001400 is an abundant number, since it is smaller than the sum of its proper divisors (193887428600).

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

137054001400 is a wasteful number, since it uses less digits than its factorization.

137054001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208241 (or 208232 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The spelling of 137054001400 in words is "one hundred thirty-seven billion, fifty-four million, one thousand, four hundred".