136537960 has 64 divisors (see below), whose sum is σ = 335865600. Its totient is φ = 49648896.

The previous prime is 136537957. The next prime is 136537963. The reversal of 136537960 is 69735631.

It is an interprime number because it is at equal distance from previous prime (136537957) and next prime (136537963).

It is a super-2 number, since 2×136537960² = 37285229041923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (136537963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32881 + ... + 36799.

It is an arithmetic number, because the mean of its divisors is an integer number (5247900).

Almost surely, 2^136537960 is an apocalyptic number.

136537960 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 136537960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167932800).

136537960 is an abundant number, since it is smaller than the sum of its proper divisors (199327640).

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

136537960 is a wasteful number, since it uses less digits than its factorization.

136537960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 136537960 is about 11684.9458706491. The cubic root of 136537960 is about 514.9334881270.

The spelling of 136537960 in words is "one hundred thirty-six million, five hundred thirty-seven thousand, nine hundred sixty".