136978560 has 128 divisors (see below), whose sum is σ = 485193600. Its totient is φ = 36523008.

The previous prime is 136978529. The next prime is 136978561. The reversal of 136978560 is 65879631.

It is a happy number.

136978560 is a `hidden beast` number, since 13 + 6 + 9 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (136978561) 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, 13317 + ... + 21243.

It is an arithmetic number, because the mean of its divisors is an integer number (3790575).

Almost surely, 2^136978560 is an apocalyptic number.

136978560 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 136978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242596800).

136978560 is an abundant number, since it is smaller than the sum of its proper divisors (348215040).

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

136978560 is an equidigital number, since it uses as much as digits as its factorization.

136978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7955 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 136978560 is about 11703.7840034751. The cubic root of 136978560 is about 515.4867801418.

It can be divided in two parts, 1 and 36978560, that added together give a square (36978561 = 6081²).

The spelling of 136978560 in words is "one hundred thirty-six million, nine hundred seventy-eight thousand, five hundred sixty".