138354048 has 384 divisors, whose sum is σ = 511632000. Its totient is φ = 36578304.

The previous prime is 138354037. The next prime is 138354059. The reversal of 138354048 is 840453831.

It is an interprime number because it is at equal distance from previous prime (138354037) and next prime (138354059).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217515 + ... + 3217557.

It is an arithmetic number, because the mean of its divisors is an integer number (1332375).

Almost surely, 2^138354048 is an apocalyptic number.

138354048 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 138354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255816000).

138354048 is an abundant number, since it is smaller than the sum of its proper divisors (373277952).

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

138354048 is a wasteful number, since it uses less digits than its factorization.

138354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 138354048 is about 11762.3997551520. The cubic root of 138354048 is about 517.2064792121.

The spelling of 138354048 in words is "one hundred thirty-eight million, three hundred fifty-four thousand, forty-eight".