125634638420370 has 120 divisors (see below), whose sum is σ = 338318312087844. Its totient is φ = 33452984582784.

The previous prime is 125634638420359. The next prime is 125634638420371. The reversal of 125634638420370 is 73024836436521.

125634638420370 is a `hidden beast` number, since 1 + 2 + 56 + 3 + 4 + 6 + 384 + 203 + 7 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 124320916705041 + 1313721715329 = 11149929^2 + 1146177^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (125634638420371) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 371077284 + ... + 371415696.

Almost surely, 2^{125634638420370} is an apocalyptic number.

125634638420370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125634638420370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169159156043922).

125634638420370 is an abundant number, since it is smaller than the sum of its proper divisors (212683673667474).

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

125634638420370 is an frugal number, since it uses more digits than its factorization.

125634638420370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339786 (or 339100 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 125634638420370 in words is "one hundred twenty-five trillion, six hundred thirty-four billion, six hundred thirty-eight million, four hundred twenty thousand, three hundred seventy".