136834920 has 160 divisors (see below), whose sum is σ = 464567400. Its totient is φ = 36122112.

The previous prime is 136834913. The next prime is 136834931. The reversal of 136834920 is 29438631.

It can be written as a sum of positive squares in 4 ways, for example, as 61873956 + 74960964 = 7866^2 + 8658^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 508546 + ... + 508814.

Almost surely, 2^136834920 is an apocalyptic number.

136834920 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 136834920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232283700).

136834920 is an abundant number, since it is smaller than the sum of its proper divisors (327732480).

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

136834920 is a wasteful number, since it uses less digits than its factorization.

136834920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 136834920 is about 11697.6459170211. The cubic root of 136834920 is about 515.3065319385.

The spelling of 136834920 in words is "one hundred thirty-six million, eight hundred thirty-four thousand, nine hundred twenty".