138461400 has 576 divisors, whose sum is σ = 617460480. Its totient is φ = 27993600.

The previous prime is 138461371. The next prime is 138461423. The reversal of 138461400 is 4164831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3742182 + ... + 3742218.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^138461400 is an apocalyptic number.

138461400 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 138461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308730240).

138461400 is an abundant number, since it is smaller than the sum of its proper divisors (478999080).

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

138461400 is a wasteful number, since it uses less digits than its factorization.

138461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138461400 is about 11766.9622248055. The cubic root of 138461400 is about 517.3402153198.

The spelling of 138461400 in words is "one hundred thirty-eight million, four hundred sixty-one thousand, four hundred".