125961536340 has 144 divisors (see below), whose sum is σ = 385981884288. Its totient is φ = 33247556352.

The previous prime is 125961536321. The next prime is 125961536357. The reversal of 125961536340 is 43635169521.

125961536340 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 6 + 1 + 5 + 3 + 634 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32605249 + ... + 32609111.

It is an arithmetic number, because the mean of its divisors is an integer number (2680429752).

Almost surely, 2^125961536340 is an apocalyptic number.

125961536340 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 125961536340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192990942144).

125961536340 is an abundant number, since it is smaller than the sum of its proper divisors (260020347948).

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

125961536340 is a wasteful number, since it uses less digits than its factorization.

125961536340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 125961536340 in words is "one hundred twenty-five billion, nine hundred sixty-one million, five hundred thirty-six thousand, three hundred forty".