155954400 has 144 divisors (see below), whose sum is σ = 580212864. Its totient is φ = 35642880.

The previous prime is 155954387. The next prime is 155954401. The reversal of 155954400 is 4459551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155954401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12159 + ... + 21441.

It is an arithmetic number, because the mean of its divisors is an integer number (4029256).

Almost surely, 2^155954400 is an apocalyptic number.

155954400 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 155954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290106432).

155954400 is an abundant number, since it is smaller than the sum of its proper divisors (424258464).

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

155954400 is a wasteful number, since it uses less digits than its factorization.

155954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 155954400 is about 12488.1704024248. The cubic root of 155954400 is about 538.2688042820.

The spelling of 155954400 in words is "one hundred fifty-five million, nine hundred fifty-four thousand, four hundred".