125631000 has 384 divisors, whose sum is σ = 490613760. Its totient is φ = 29808000.

The previous prime is 125630977. The next prime is 125631007. The reversal of 125631000 is 136521.

125631000 is a `hidden beast` number, since 1 + 2 + 563 + 100 + 0 = 666.

It is a super-2 number, since 2×125631000² = 31566296322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125631007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2672977 + ... + 2673023.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^125631000 is an apocalyptic number.

125631000 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 125631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

125631000 is an abundant number, since it is smaller than the sum of its proper divisors (364982760).

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

125631000 is a wasteful number, since it uses less digits than its factorization.

125631000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 125631000 is about 11208.5235423761. The cubic root of 125631000 is about 500.8399216067.

Adding to 125631000 its reverse (136521), we get a palindrome (125767521).

The spelling of 125631000 in words is "one hundred twenty-five million, six hundred thirty-one thousand".