155942400 has 240 divisors, whose sum is σ = 535822848. Its totient is φ = 39936000.

The previous prime is 155942399. The next prime is 155942401. The reversal of 155942400 is 4249551.

155942400 is digitally balanced in base 3, 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 (155942399) and next prime (155942401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155942401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190335 + ... + 1190465.

Almost surely, 2^155942400 is an apocalyptic number.

155942400 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 155942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267911424).

155942400 is an abundant number, since it is smaller than the sum of its proper divisors (379880448).

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

155942400 is a wasteful number, since it uses less digits than its factorization.

155942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 155942400 is about 12487.6899384954. The cubic root of 155942400 is about 538.2549981281.

The spelling of 155942400 in words is "one hundred fifty-five million, nine hundred forty-two thousand, four hundred".