125035514240 has 256 divisors, whose sum is σ = 371702459520. Its totient is φ = 39161954304.

The previous prime is 125035514237. The next prime is 125035514299. The reversal of 125035514240 is 42415530521.

It is a super-2 number, since 2×125035514240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 125035514197 and 125035514206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5638214 + ... + 5660346.

Almost surely, 2^125035514240 is an apocalyptic number.

125035514240 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 125035514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185851229760).

125035514240 is an abundant number, since it is smaller than the sum of its proper divisors (246666945280).

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

125035514240 is a wasteful number, since it uses less digits than its factorization.

125035514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22269 (or 22257 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 125035514240 in words is "one hundred twenty-five billion, thirty-five million, five hundred fourteen thousand, two hundred forty".