138654516 has 288 divisors, whose sum is σ = 472977792. Its totient is φ = 30965760.

The previous prime is 138654493. The next prime is 138654541. The reversal of 138654516 is 615456831.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (86400) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1429380 + ... + 1429476.

It is an arithmetic number, because the mean of its divisors is an integer number (1642284).

Almost surely, 2^138654516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138654516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236488896).

138654516 is an abundant number, since it is smaller than the sum of its proper divisors (334323276).

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

138654516 is a wasteful number, since it uses less digits than its factorization.

138654516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 138654516 is about 11775.1652217708. The cubic root of 138654516 is about 517.5806198933.

It can be divided in two parts, 13865 and 4516, that added together give a palindrome (18381).

The spelling of 138654516 in words is "one hundred thirty-eight million, six hundred fifty-four thousand, five hundred sixteen".