125755487948190 has 256 divisors, whose sum is σ = 329010567413760. Its totient is φ = 30645324864000.

The previous prime is 125755487948183. The next prime is 125755487948197. The reversal of 125755487948190 is 91849784557521.

It is an interprime number because it is at equal distance from previous prime (125755487948183) and next prime (125755487948197).

It is a super-2 number, since 2×125755487948190² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125755487948197) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11020543585 + ... + 11020554995.

It is an arithmetic number, because the mean of its divisors is an integer number (1285197528960).

Almost surely, 2^{125755487948190} is an apocalyptic number.

125755487948190 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 125755487948190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505283706880).

125755487948190 is an abundant number, since it is smaller than the sum of its proper divisors (203255079465570).

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

125755487948190 is a wasteful number, since it uses less digits than its factorization.

125755487948190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439.

The product of its (nonzero) digits is 1016064000, while the sum is 75.

The spelling of 125755487948190 in words is "one hundred twenty-five trillion, seven hundred fifty-five billion, four hundred eighty-seven million, nine hundred forty-eight thousand, one hundred ninety".