138062400 has 252 divisors, whose sum is σ = 527809968. Its totient is φ = 31503360.

The previous prime is 138062377. The next prime is 138062401. The reversal of 138062400 is 4260831.

It is a happy number.

It is a super-2 number, since 2×138062400² = 38122452587520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (138062401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234907 + ... + 235493.

It is an arithmetic number, because the mean of its divisors is an integer number (2094484).

Almost surely, 2^138062400 is an apocalyptic number.

138062400 is a gapful number since it is divisible by the number (10) 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 138062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263904984).

138062400 is an abundant number, since it is smaller than the sum of its proper divisors (389747568).

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

138062400 is a wasteful number, since it uses less digits than its factorization.

138062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 138062400 is about 11749.9957446801. The cubic root of 138062400 is about 516.8428027056.

The spelling of 138062400 in words is "one hundred thirty-eight million, sixty-two thousand, four hundred".