125152407 has 36 divisors (see below), whose sum is σ = 191629984. Its totient is φ = 78693120.

The previous prime is 125152397. The next prime is 125152409. The reversal of 125152407 is 704251521.

125152407 is a `hidden beast` number, since 1 + 251 + 5 + 2 + 407 = 666.

It is not a de Polignac number, because 125152407 - 2⁶ = 125152343 is a prime.

It is a super-3 number, since 3×125152407³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125152409) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 461682 + ... + 461952.

Almost surely, 2^125152407 is an apocalyptic number.

125152407 is a deficient number, since it is larger than the sum of its proper divisors (66477577).

125152407 is a wasteful number, since it uses less digits than its factorization.

125152407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 125152407 is about 11187.1536594435. The cubic root of 125152407 is about 500.2031268012.

The spelling of 125152407 in words is "one hundred twenty-five million, one hundred fifty-two thousand, four hundred seven".