125614500 has 192 divisors, whose sum is σ = 417650688. Its totient is φ = 29040000.

The previous prime is 125614499. The next prime is 125614507. The reversal of 125614500 is 5416521.

It is a super-2 number, since 2×125614500² = 31558005220500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (125614507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379335 + ... + 379665.

It is an arithmetic number, because the mean of its divisors is an integer number (2175264).

Almost surely, 2^125614500 is an apocalyptic number.

125614500 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 125614500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208825344).

125614500 is an abundant number, since it is smaller than the sum of its proper divisors (292036188).

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

125614500 is a wasteful number, since it uses less digits than its factorization.

125614500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 125614500 is about 11207.7874712184. The cubic root of 125614500 is about 500.8179943740.

The spelling of 125614500 in words is "one hundred twenty-five million, six hundred fourteen thousand, five hundred".