125814139542 has 480 divisors, whose sum is σ = 374732531712. Its totient is φ = 30705340032.

The previous prime is 125814139531. The next prime is 125814139553. The reversal of 125814139542 is 245931418521.

125814139542 is a `hidden beast` number, since 1 + 2 + 581 + 4 + 13 + 9 + 54 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (125814139531) and next prime (125814139553).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 250127263 + ... + 250127765.

Almost surely, 2^125814139542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125814139542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187366265856).

125814139542 is an abundant number, since it is smaller than the sum of its proper divisors (248918392170).

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

125814139542 is a wasteful number, since it uses less digits than its factorization.

125814139542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 594 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

It can be divided in two parts, 125814 and 139542, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 125814139542 in words is "one hundred twenty-five billion, eight hundred fourteen million, one hundred thirty-nine thousand, five hundred forty-two".