137778948 has 96 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 42739200.

The previous prime is 137778941. The next prime is 137779079. The reversal of 137778948 is 849877731.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 137778894 and 137778903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137778941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185065 + ... + 185807.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^137778948 is an apocalyptic number.

137778948 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 137778948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

137778948 is an abundant number, since it is smaller than the sum of its proper divisors (244696572).

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

137778948 is a wasteful number, since it uses less digits than its factorization.

137778948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

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

The square root of 137778948 is about 11737.9277557838. The cubic root of 137778948 is about 516.4888552658.

The spelling of 137778948 in words is "one hundred thirty-seven million, seven hundred seventy-eight thousand, nine hundred forty-eight".