125145542132320 has 192 divisors, whose sum is σ = 300359576986560. Its totient is φ = 49267240501248.

The previous prime is 125145542132227. The next prime is 125145542132321. The reversal of 125145542132320 is 23231245541521.

It is a super-2 number, since 2×125145542132320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125145542132321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18855736042 + ... + 18855742678.

It is an arithmetic number, because the mean of its divisors is an integer number (1564372796805).

Almost surely, 2^{125145542132320} is an apocalyptic number.

125145542132320 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 125145542132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150179788493280).

125145542132320 is an abundant number, since it is smaller than the sum of its proper divisors (175214034854240).

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

125145542132320 is a wasteful number, since it uses less digits than its factorization.

125145542132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 125145542132320 its reverse (23231245541521), we get a palindrome (148376787673841).

The spelling of 125145542132320 in words is "one hundred twenty-five trillion, one hundred forty-five billion, five hundred forty-two million, one hundred thirty-two thousand, three hundred twenty".