136377120 has 192 divisors, whose sum is σ = 489452544. Its totient is φ = 31595520.

The previous prime is 136377119. The next prime is 136377121. The reversal of 136377120 is 21773631.

It is an interprime number because it is at equal distance from previous prime (136377119) and next prime (136377121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (136377121) 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, 120879 + ... + 122001.

It is an arithmetic number, because the mean of its divisors is an integer number (2549232).

Almost surely, 2^136377120 is an apocalyptic number.

136377120 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 136377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244726272).

136377120 is an abundant number, since it is smaller than the sum of its proper divisors (353075424).

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

136377120 is a wasteful number, since it uses less digits than its factorization.

136377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 136377120 is about 11678.0614829688. The cubic root of 136377120 is about 514.7312136226.

The spelling of 136377120 in words is "one hundred thirty-six million, three hundred seventy-seven thousand, one hundred twenty".