155390400 has 420 divisors, whose sum is σ = 628817640. Its totient is φ = 37324800.

The previous prime is 155390399. The next prime is 155390401. The reversal of 155390400 is 4093551.

It is an interprime number because it is at equal distance from previous prime (155390399) and next prime (155390401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155390401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1425546 + ... + 1425654.

Almost surely, 2^155390400 is an apocalyptic number.

155390400 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 155390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314408820).

155390400 is an abundant number, since it is smaller than the sum of its proper divisors (473427240).

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

155390400 is a wasteful number, since it uses less digits than its factorization.

155390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 155390400 is about 12465.5685790902. The cubic root of 155390400 is about 537.6191479149.

The spelling of 155390400 in words is "one hundred fifty-five million, three hundred ninety thousand, four hundred".