136737072 has 140 divisors (see below), whose sum is σ = 418793880. Its totient is φ = 43110144.

The previous prime is 136737023. The next prime is 136737077. The reversal of 136737072 is 270737631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136737077) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221308 + ... + 221924.

Almost surely, 2^136737072 is an apocalyptic number.

136737072 is a gapful number since it is divisible by the number (12) 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 136737072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209396940).

136737072 is an abundant number, since it is smaller than the sum of its proper divisors (282056808).

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

136737072 is an equidigital number, since it uses as much as digits as its factorization.

136737072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 136737072 is about 11693.4627890972. The cubic root of 136737072 is about 515.1836740773.

The spelling of 136737072 in words is "one hundred thirty-six million, seven hundred thirty-seven thousand, seventy-two".