137420928 has 128 divisors (see below), whose sum is σ = 429624000. Its totient is φ = 43094016.

The previous prime is 137420893. The next prime is 137420947. The reversal of 137420928 is 829024731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×137420928² = 37769022904762368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137420892 and 137420901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57583 + ... + 59921.

Almost surely, 2^137420928 is an apocalyptic number.

137420928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214812000).

137420928 is an abundant number, since it is smaller than the sum of its proper divisors (292203072).

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

137420928 is a wasteful number, since it uses less digits than its factorization.

137420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137420928 is about 11722.6672732787. The cubic root of 137420928 is about 516.0411000253.

The spelling of 137420928 in words is "one hundred thirty-seven million, four hundred twenty thousand, nine hundred twenty-eight".