155138400 has 216 divisors, whose sum is σ = 566682480. Its totient is φ = 39889920.

The previous prime is 155138393. The next prime is 155138407. The reversal of 155138400 is 4831551.

155138400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (155138393) and next prime (155138407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155138407) 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, 208429 + ... + 209171.

It is an arithmetic number, because the mean of its divisors is an integer number (2623530).

Almost surely, 2^155138400 is an apocalyptic number.

155138400 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 155138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283341240).

155138400 is an abundant number, since it is smaller than the sum of its proper divisors (411544080).

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

155138400 is a wasteful number, since it uses less digits than its factorization.

155138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 155138400 is about 12455.4566355473. The cubic root of 155138400 is about 537.3283677717.

Adding to 155138400 its reverse (4831551), we get a palindrome (159969951).

The spelling of 155138400 in words is "one hundred fifty-five million, one hundred thirty-eight thousand, four hundred".