136152000 has 336 divisors, whose sum is σ = 510991104. Its totient is φ = 34560000.

The previous prime is 136151989. The next prime is 136152011. The reversal of 136152000 is 251631.

It is an interprime number because it is at equal distance from previous prime (136151989) and next prime (136152011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231970 + ... + 2232030.

Almost surely, 2^136152000 is an apocalyptic number.

136152000 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 136152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255495552).

136152000 is an abundant number, since it is smaller than the sum of its proper divisors (374839104).

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

136152000 is a wasteful number, since it uses less digits than its factorization.

136152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

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

The square root of 136152000 is about 11668.4189160314. The cubic root of 136152000 is about 514.4478324880.

It can be divided in two parts, 1361 and 52000, that added together give a square (53361 = 231²).

The spelling of 136152000 in words is "one hundred thirty-six million, one hundred fifty-two thousand".