125435034757400 has 192 divisors, whose sum is σ = 307386241200000. Its totient is φ = 47471308416000.

The previous prime is 125435034757271. The next prime is 125435034757421. The reversal of 125435034757400 is 4757430534521.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10258850087 + ... + 10258862313.

It is an arithmetic number, because the mean of its divisors is an integer number (1600970006250).

Almost surely, 2^{125435034757400} is an apocalyptic number.

125435034757400 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 125435034757400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153693120600000).

125435034757400 is an abundant number, since it is smaller than the sum of its proper divisors (181951206442600).

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

125435034757400 is a wasteful number, since it uses less digits than its factorization.

125435034757400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15562 (or 15553 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 50.

The spelling of 125435034757400 in words is "one hundred twenty-five trillion, four hundred thirty-five billion, thirty-four million, seven hundred fifty-seven thousand, four hundred".