125137149350400 has 840 divisors, whose sum is σ = 507101816312784. Its totient is φ = 30336253747200.

The previous prime is 125137149350359. The next prime is 125137149350419. The reversal of 125137149350400 is 4053941731521.

125137149350400 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 3 + 71 + 493 + 50 + 40 + 0 = 666.

It is a super-2 number, since 2×125137149350400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 102033627 + ... + 103252773.

Almost surely, 2^{125137149350400} is an apocalyptic number.

125137149350400 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 125137149350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253550908156392).

125137149350400 is an abundant number, since it is smaller than the sum of its proper divisors (381964666962384).

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

125137149350400 is an equidigital number, since it uses as much as digits as its factorization.

125137149350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219204 (or 1219168 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 125137149350400 in words is "one hundred twenty-five trillion, one hundred thirty-seven billion, one hundred forty-nine million, three hundred fifty thousand, four hundred".