137787948 has 36 divisors (see below), whose sum is σ = 349279840. Its totient is φ = 45799776.

The previous prime is 137787919. The next prime is 137787971. The reversal of 137787948 is 849787731.

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

It is a super-2 number, since 2×137787948² = 37971037228101408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137787894 and 137787903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7998 + ... + 18426.

Almost surely, 2^137787948 is an apocalyptic number.

137787948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137787948 is an abundant number, since it is smaller than the sum of its proper divisors (211491892).

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

137787948 is a wasteful number, since it uses less digits than its factorization.

137787948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806 (or 10801 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 137787948 is about 11738.3111221334. The cubic root of 137787948 is about 516.5001010537.

The spelling of 137787948 in words is "one hundred thirty-seven million, seven hundred eighty-seven thousand, nine hundred forty-eight".