137653752 has 32 divisors (see below), whose sum is σ = 346769280. Its totient is φ = 45533280.

The previous prime is 137653739. The next prime is 137653753. The reversal of 137653752 is 257356731.

137653752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137653752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137653753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18748 + ... + 25035.

It is an arithmetic number, because the mean of its divisors is an integer number (10836540).

Almost surely, 2^137653752 is an apocalyptic number.

137653752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137653752 is an abundant number, since it is smaller than the sum of its proper divisors (209115528).

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

137653752 is a wasteful number, since it uses less digits than its factorization.

137653752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43923 (or 43919 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 137653752 is about 11732.5935751649. The cubic root of 137653752 is about 516.3323680443.

The spelling of 137653752 in words is "one hundred thirty-seven million, six hundred fifty-three thousand, seven hundred fifty-two".