138768552 has 288 divisors, whose sum is σ = 469341600. Its totient is φ = 38071296.

The previous prime is 138768541. The next prime is 138768557. The reversal of 138768552 is 255867831.

138768552 = 18³ + 19³ + ... + 153³.

138768552 is a `hidden beast` number, since 1 + 38 + 7 + 68 + 552 = 666.

It is a super-2 number, since 2×138768552² = 38513422048353408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138768498 and 138768507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138768557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7303599 + ... + 7303617.

Almost surely, 2^138768552 is an apocalyptic number.

138768552 is a gapful number since it is divisible by the number (12) 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 138768552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234670800).

138768552 is an abundant number, since it is smaller than the sum of its proper divisors (330573048).

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

138768552 is a wasteful number, since it uses less digits than its factorization.

138768552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 138768552 is about 11780.0064516111. The cubic root of 138768552 is about 517.7224752318.

The spelling of 138768552 in words is "one hundred thirty-eight million, seven hundred sixty-eight thousand, five hundred fifty-two".