137390 has 16 divisors (see below), whose sum is σ = 270000. Its totient is φ = 49920.

The previous prime is 137387. The next prime is 137393. The reversal of 137390 is 93731.

137390 = T₅₆ + T₅₇ + ... + T₉₉.

137390 = 213² + 214² + 215².

It is an interprime number because it is at equal distance from previous prime (137387) and next prime (137393).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137393) 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, 515 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (16875).

2¹³⁷³⁹⁰ is an apocalyptic number.

137390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137390 is a deficient number, since it is larger than the sum of its proper divisors (132610).

137390 is a wasteful number, since it uses less digits than its factorization.

137390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267.

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 137390 is about 370.6615707084. The cubic root of 137390 is about 51.6002383660.

The spelling of 137390 in words is "one hundred thirty-seven thousand, three hundred ninety".