137819628 has 36 divisors (see below), whose sum is σ = 348876528. Its totient is φ = 45874080.

The previous prime is 137819623. The next prime is 137819641. The reversal of 137819628 is 826918731.

137819628 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 19 + 628 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (137819623) 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, 27225 + ... + 31887.

Almost surely, 2^137819628 is an apocalyptic number.

137819628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137819628 is an abundant number, since it is smaller than the sum of its proper divisors (211056900).

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

137819628 is a wasteful number, since it uses less digits than its factorization.

137819628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5489 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 137819628 is about 11739.6604720920. The cubic root of 137819628 is about 516.5396823320.

It can be divided in two parts, 13781 and 9628, that added together give a square (23409 = 153²).

The spelling of 137819628 in words is "one hundred thirty-seven million, eight hundred nineteen thousand, six hundred twenty-eight".