137756340 has 36 divisors (see below), whose sum is σ = 417861444. Its totient is φ = 36734976.

The previous prime is 137756317. The next prime is 137756341. The reversal of 137756340 is 43657731.

137756340 is a `hidden beast` number, since 13 + 7 + 7 + 5 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40220964 + 97535376 = 6342^2 + 9876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 137756295 and 137756304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137756341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382477 + ... + 382836.

Almost surely, 2^137756340 is an apocalyptic number.

137756340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137756340 is an abundant number, since it is smaller than the sum of its proper divisors (280105104).

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

137756340 is a wasteful number, since it uses less digits than its factorization.

137756340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765328 (or 765323 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 137756340 is about 11736.9646842785. The cubic root of 137756340 is about 516.4606036861.

The spelling of 137756340 in words is "one hundred thirty-seven million, seven hundred fifty-six thousand, three hundred forty".