125157549600 has 1152 divisors, whose sum is σ = 501155424000. Its totient is φ = 30019092480.

The previous prime is 125157549571. The next prime is 125157549637. The reversal of 125157549600 is 6945751521.

It is a happy number.

125157549600 is a `hidden beast` number, since 1 + 2 + 5 + 157 + 5 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1148234346 + ... + 1148234454.

It is an arithmetic number, because the mean of its divisors is an integer number (435030750).

Almost surely, 2^125157549600 is an apocalyptic number.

125157549600 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 125157549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250577712000).

125157549600 is an abundant number, since it is smaller than the sum of its proper divisors (375997874400).

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

125157549600 is a wasteful number, since it uses less digits than its factorization.

125157549600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 125157549600 in words is "one hundred twenty-five billion, one hundred fifty-seven million, five hundred forty-nine thousand, six hundred".