125145636000 has 1536 divisors, whose sum is σ = 560839458816. Its totient is φ = 23592960000.

The previous prime is 125145635977. The next prime is 125145636023. The reversal of 125145636000 is 636541521.

It is an interprime number because it is at equal distance from previous prime (125145635977) and next prime (125145636023).

It is a super-2 number, since 2×125145636000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 486947872 + ... + 486948128.

It is an arithmetic number, because the mean of its divisors is an integer number (365129856).

Almost surely, 2^125145636000 is an apocalyptic number.

125145636000 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 125145636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280419729408).

125145636000 is an abundant number, since it is smaller than the sum of its proper divisors (435693822816).

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

125145636000 is a wasteful number, since it uses less digits than its factorization.

125145636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 125145636000 in words is "one hundred twenty-five billion, one hundred forty-five million, six hundred thirty-six thousand".