136379040 has 192 divisors, whose sum is σ = 504693504. Its totient is φ = 30302208.

The previous prime is 136379039. The next prime is 136379041. The reversal of 136379040 is 40973631.

It is an interprime number because it is at equal distance from previous prime (136379039) and next prime (136379041).

It is a junction number, because it is equal to n+sod(n) for n = 136378992 and 136379010.

It is not an unprimeable number, because it can be changed into a prime (136379041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123772 + ... + 124868.

It is an arithmetic number, because the mean of its divisors is an integer number (2628612).

Almost surely, 2^136379040 is an apocalyptic number.

136379040 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 136379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252346752).

136379040 is an abundant number, since it is smaller than the sum of its proper divisors (368314464).

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

136379040 is a wasteful number, since it uses less digits than its factorization.

136379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 136379040 is about 11678.1436881039. The cubic root of 136379040 is about 514.7336291776.

The spelling of 136379040 in words is "one hundred thirty-six million, three hundred seventy-nine thousand, forty".