125535150 has 192 divisors, whose sum is σ = 389975040. Its totient is φ = 29462400.

The previous prime is 125535143. The next prime is 125535161. The reversal of 125535150 is 51535521.

125535150 is a `hidden beast` number, since 12 + 553 + 51 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 403495 + ... + 403805.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^125535150 is an apocalyptic number.

125535150 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 125535150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

125535150 is an abundant number, since it is smaller than the sum of its proper divisors (264439890).

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

125535150 is a wasteful number, since it uses less digits than its factorization.

125535150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 125535150 is about 11204.2469626477. The cubic root of 125535150 is about 500.7125174887.

The spelling of 125535150 in words is "one hundred twenty-five million, five hundred thirty-five thousand, one hundred fifty".