137775640 has 16 divisors (see below), whose sum is σ = 309995280. Its totient is φ = 55110240.

The previous prime is 137775629. The next prime is 137775641. The reversal of 137775640 is 46577731.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 3444391 = 137775640 / (1 + 3 + 7 + 7 + 7 + 5 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 137775593 and 137775602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137775641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1722156 + ... + 1722235.

It is an arithmetic number, because the mean of its divisors is an integer number (19374705).

Almost surely, 2^137775640 is an apocalyptic number.

137775640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137775640 is an abundant number, since it is smaller than the sum of its proper divisors (172219640).

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

137775640 is a wasteful number, since it uses less digits than its factorization.

137775640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444402 (or 3444398 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 137775640 is about 11737.7868442053. The cubic root of 137775640 is about 516.4847216909.

The spelling of 137775640 in words is "one hundred thirty-seven million, seven hundred seventy-five thousand, six hundred forty".