138505248 has 96 divisors (see below), whose sum is σ = 461704320. Its totient is φ = 39571200.

The previous prime is 138505229. The next prime is 138505259. The reversal of 138505248 is 842505831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5403 + ... + 17498.

It is an arithmetic number, because the mean of its divisors is an integer number (4809420).

Almost surely, 2^138505248 is an apocalyptic number.

138505248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138505248 is an abundant number, since it is smaller than the sum of its proper divisors (323199072).

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

138505248 is a wasteful number, since it uses less digits than its factorization.

138505248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22927 (or 22913 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 138505248 is about 11768.8252599824. The cubic root of 138505248 is about 517.3948200439.

The spelling of 138505248 in words is "one hundred thirty-eight million, five hundred five thousand, two hundred forty-eight".