137303340 has 48 divisors (see below), whose sum is σ = 396856320. Its totient is φ = 35432640.

The previous prime is 137303321. The next prime is 137303347. The reversal of 137303340 is 43303731.

137303340 = T₃₃₁ + T₃₃₂ + ... + T₉₅₀.

It is a self number, because there is not a number n which added to its sum of digits gives 137303340.

It is not an unprimeable number, because it can be changed into a prime (137303347) 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, 35050 + ... + 38769.

It is an arithmetic number, because the mean of its divisors is an integer number (8267840).

Almost surely, 2^137303340 is an apocalyptic number.

137303340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137303340 is an abundant number, since it is smaller than the sum of its proper divisors (259552980).

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

137303340 is a wasteful number, since it uses less digits than its factorization.

137303340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73862 (or 73860 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 137303340 is about 11717.6507884473. The cubic root of 137303340 is about 515.8938697658.

The spelling of 137303340 in words is "one hundred thirty-seven million, three hundred three thousand, three hundred forty".