136757440 has 112 divisors (see below), whose sum is σ = 348203520. Its totient is φ = 51010560.

The previous prime is 136757429. The next prime is 136757447. The reversal of 136757440 is 44757631.

It is a self number, because there is not a number n which added to its sum of digits gives 136757440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136757447) 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, 504505 + ... + 504775.

It is an arithmetic number, because the mean of its divisors is an integer number (3108960).

Almost surely, 2^136757440 is an apocalyptic number.

136757440 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 136757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

136757440 is an abundant number, since it is smaller than the sum of its proper divisors (211446080).

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

136757440 is a wasteful number, since it uses less digits than its factorization.

136757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 136757440 is about 11694.3336706287. Note that the first 3 decimals coincide. The cubic root of 136757440 is about 515.2092529491.

It can be divided in two parts, 13675 and 7440, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 136757440 in words is "one hundred thirty-six million, seven hundred fifty-seven thousand, four hundred forty".