136374000 has 320 divisors, whose sum is σ = 534822912. Its totient is φ = 29184000.

The previous prime is 136373999. The next prime is 136374019. The reversal of 136374000 is 473631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713905 + ... + 714095.

Almost surely, 2^136374000 is an apocalyptic number.

136374000 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 136374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267411456).

136374000 is an abundant number, since it is smaller than the sum of its proper divisors (398448912).

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

136374000 is a wasteful number, since it uses less digits than its factorization.

136374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 136374000 is about 11677.9278983902. The cubic root of 136374000 is about 514.7272882974.

The spelling of 136374000 in words is "one hundred thirty-six million, three hundred seventy-four thousand".