137355948 has 72 divisors (see below), whose sum is σ = 361998000. Its totient is φ = 43860096.

The previous prime is 137355941. The next prime is 137355979. The reversal of 137355948 is 849553731.

137355948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137355941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155115 + ... + 155997.

It is an arithmetic number, because the mean of its divisors is an integer number (5027750).

Almost surely, 2^137355948 is an apocalyptic number.

137355948 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 137355948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180999000).

137355948 is an abundant number, since it is smaller than the sum of its proper divisors (224642052).

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

137355948 is a wasteful number, since it uses less digits than its factorization.

137355948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1066 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 137355948 is about 11719.8953920246. The cubic root of 137355948 is about 515.9597498801.

It can be divided in two parts, 13735 and 5948, that added together give a 9-th power (19683 = 3⁹).

The spelling of 137355948 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, nine hundred forty-eight".