136337040 has 320 divisors, whose sum is σ = 548536320. Its totient is φ = 30481920.

The previous prime is 136337029. The next prime is 136337051. The reversal of 136337040 is 40733631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136337029) and next prime (136337051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 136336995 and 136337013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073457 + ... + 1073583.

It is an arithmetic number, because the mean of its divisors is an integer number (1714176).

Almost surely, 2^136337040 is an apocalyptic number.

136337040 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 136337040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268160).

136337040 is an abundant number, since it is smaller than the sum of its proper divisors (412199280).

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

136337040 is a wasteful number, since it uses less digits than its factorization.

136337040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 136337040 is about 11676.3453186346. The cubic root of 136337040 is about 514.6807837352.

The spelling of 136337040 in words is "one hundred thirty-six million, three hundred thirty-seven thousand, forty".