136125000 has 252 divisors, whose sum is σ = 506536485. Its totient is φ = 33000000.

The previous prime is 136124993. The next prime is 136125013. The reversal of 136125000 is 521631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

136125000 is a `hidden beast` number, since 1 + 3 + 612 + 50 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23213124 + 112911876 = 4818^2 + 10626^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8250.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12374995 + ... + 12375005.

Almost surely, 2^136125000 is an apocalyptic number.

136125000 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 136125000

136125000 is an abundant number, since it is smaller than the sum of its proper divisors (370411485).

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

136125000 is an equidigital number, since it uses as much as digits as its factorization.

136125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

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

The square root of 136125000 is about 11667.2618895780. The cubic root of 136125000 is about 514.4138239051.

Multiplying 136125000 by its sum of digits (18), we get a square (2450250000 = 49500²).

136125000 divided by its sum of digits (18) gives a square (7562500 = 2750²).

Adding to 136125000 its reverse (521631), we get a palindrome (136646631).

The spelling of 136125000 in words is "one hundred thirty-six million, one hundred twenty-five thousand".