125642674000 has 160 divisors (see below), whose sum is σ = 315540295200. Its totient is φ = 48329523200.

The previous prime is 125642673943. The next prime is 125642674051. The reversal of 125642674000 is 476246521.

It can be written as a sum of positive squares in 16 ways, for example, as 69541909264 + 56100764736 = 263708^2 + 236856^2 .

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, 14901786 + ... + 14910214.

It is an arithmetic number, because the mean of its divisors is an integer number (1972126845).

Almost surely, 2^125642674000 is an apocalyptic number.

125642674000 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 125642674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157770147600).

125642674000 is an abundant number, since it is smaller than the sum of its proper divisors (189897621200).

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

125642674000 is a wasteful number, since it uses less digits than its factorization.

125642674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 125642674000 in words is "one hundred twenty-five billion, six hundred forty-two million, six hundred seventy-four thousand".