125214336 has 160 divisors (see below), whose sum is σ = 401732100. Its totient is φ = 38486016.

The previous prime is 125214311. The next prime is 125214337. The reversal of 125214336 is 633412521.

It can be written as a sum of positive squares in 2 ways, for example, as 94478400 + 30735936 = 9720^2 + 5544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (125214337) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134320 + ... + 135248.

Almost surely, 2^125214336 is an apocalyptic number.

125214336 is a gapful number since it is divisible by the number (16) 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 125214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200866050).

125214336 is an abundant number, since it is smaller than the sum of its proper divisors (276517764).

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

125214336 is an equidigital number, since it uses as much as digits as its factorization.

125214336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 947 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 125214336 is about 11189.9211793471. The cubic root of 125214336 is about 500.2856181468.

Adding to 125214336 its reverse (633412521), we get a palindrome (758626857).

The spelling of 125214336 in words is "one hundred twenty-five million, two hundred fourteen thousand, three hundred thirty-six".