137920513 has 4 divisors (see below), whose sum is σ = 140855040. Its totient is φ = 134985988.

The previous prime is 137920501. The next prime is 137920529. The reversal of 137920513 is 315029731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 315029731 = 557 ⋅565583.

It is a cyclic number.

It is not a de Polignac number, because 137920513 - 2⁵ = 137920481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137920543) 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, 1467193 + ... + 1467286.

It is an arithmetic number, because the mean of its divisors is an integer number (35213760).

It is a Proth number, since it is equal to 4209 ⋅ 2¹⁵ + 1 and 4209 < 2¹⁵.

Almost surely, 2^137920513 is an apocalyptic number.

It is an amenable number.

137920513 is a deficient number, since it is larger than the sum of its proper divisors (2934527).

137920513 is an equidigital number, since it uses as much as digits as its factorization.

137920513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934526.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 137920513 is about 11743.9564457639. The cubic root of 137920513 is about 516.6656885633.

The spelling of 137920513 in words is "one hundred thirty-seven million, nine hundred twenty thousand, five hundred thirteen".