125215431264 has 576 divisors, whose sum is σ = 477329448960. Its totient is φ = 30151388160.

The previous prime is 125215431241. The next prime is 125215431287. The reversal of 125215431264 is 462134512521.

125215431264 is a `hidden beast` number, since 1 + 2 + 5 + 215 + 431 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (125215431241) and next prime (125215431287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19800007 + ... + 19806329.

It is an arithmetic number, because the mean of its divisors is an integer number (828696960).

Almost surely, 2^125215431264 is an apocalyptic number.

125215431264 is a gapful number since it is divisible by the number (14) 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 125215431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238664724480).

125215431264 is an abundant number, since it is smaller than the sum of its proper divisors (352114017696).

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

125215431264 is a wasteful number, since it uses less digits than its factorization.

125215431264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423 (or 6412 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 125215431264 its reverse (462134512521), we get a palindrome (587349943785).

The spelling of 125215431264 in words is "one hundred twenty-five billion, two hundred fifteen million, four hundred thirty-one thousand, two hundred sixty-four".