137127628 has 12 divisors (see below), whose sum is σ = 261789192. Its totient is φ = 62330720.

The previous prime is 137127619. The next prime is 137127629. The reversal of 137127628 is 826721731.

It is a super-3 number, since 3×137127628³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (137127629) 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, 1558225 + ... + 1558312.

It is an arithmetic number, because the mean of its divisors is an integer number (21815766).

Almost surely, 2^137127628 is an apocalyptic number.

It is an amenable number.

137127628 is a deficient number, since it is larger than the sum of its proper divisors (124661564).

137127628 is a wasteful number, since it uses less digits than its factorization.

137127628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116552 (or 3116550 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 137127628 is about 11710.1506395093. The cubic root of 137127628 is about 515.6737065370.

It can be divided in two parts, 137 and 127628, that added together give a triangular number (127765 = T₅₀₅).

The spelling of 137127628 in words is "one hundred thirty-seven million, one hundred twenty-seven thousand, six hundred twenty-eight".