137771748 has 72 divisors (see below), whose sum is σ = 365496768. Its totient is φ = 43674048.

The previous prime is 137771731. The next prime is 137771801. The reversal of 137771748 is 847177731.

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 23 ways as a sum of consecutive naturals, for example, 187590 + ... + 188322.

It is an arithmetic number, because the mean of its divisors is an integer number (5076344).

Almost surely, 2^137771748 is an apocalyptic number.

137771748 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 137771748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182748384).

137771748 is an abundant number, since it is smaller than the sum of its proper divisors (227725020).

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

137771748 is a wasteful number, since it uses less digits than its factorization.

137771748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 988 counting only the distinct ones).

The product of its digits is 230496, while the sum is 45.

The square root of 137771748 is about 11737.6210536889. The cubic root of 137771748 is about 516.4798582829.

The spelling of 137771748 in words is "one hundred thirty-seven million, seven hundred seventy-one thousand, seven hundred forty-eight".