125151766740 has 960 divisors, whose sum is σ = 535051173888. Its totient is φ = 23645260800.

The previous prime is 125151766721. The next prime is 125151766787. The reversal of 125151766740 is 47667151521.

125151766740 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 517 + 66 + 74 + 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 319 ways as a sum of consecutive naturals, for example, 115134477 + ... + 115135563.

Almost surely, 2^125151766740 is an apocalyptic number.

125151766740 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 125151766740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267525586944).

125151766740 is an abundant number, since it is smaller than the sum of its proper divisors (409899407148).

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

125151766740 is a wasteful number, since it uses less digits than its factorization.

125151766740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 125151766740 in words is "one hundred twenty-five billion, one hundred fifty-one million, seven hundred sixty-six thousand, seven hundred forty".