125461152 has 72 divisors (see below), whose sum is σ = 358053696. Its totient is φ = 41671296.

The previous prime is 125461151. The next prime is 125461153. The reversal of 125461152 is 251164521.

125461152 is a `hidden beast` number, since 1 + 2 + 546 + 115 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (125461151) and next prime (125461153).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×125461152² = 31481001322334208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125461151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105103 + ... + 106289.

It is an arithmetic number, because the mean of its divisors is an integer number (4972968).

Almost surely, 2^125461152 is an apocalyptic number.

125461152 is a gapful number since it is divisible by the number (12) 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 125461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179026848).

125461152 is an abundant number, since it is smaller than the sum of its proper divisors (232592544).

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

125461152 is a wasteful number, since it uses less digits than its factorization.

125461152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1559 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125461152 is about 11200.9442459107. The cubic root of 125461152 is about 500.6141147507.

The spelling of 125461152 in words is "one hundred twenty-five million, four hundred sixty-one thousand, one hundred fifty-two".