155610400 has 72 divisors (see below), whose sum is σ = 414442224. Its totient is φ = 56582400.

The previous prime is 155610383. The next prime is 155610409. The reversal of 155610400 is 4016551.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (155610409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 17641.

It is an arithmetic number, because the mean of its divisors is an integer number (5756142).

Almost surely, 2^155610400 is an apocalyptic number.

155610400 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 155610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207221112).

155610400 is an abundant number, since it is smaller than the sum of its proper divisors (258831824).

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

155610400 is a wasteful number, since it uses less digits than its factorization.

155610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17714 (or 17701 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 155610400 is about 12474.3897646338. The cubic root of 155610400 is about 537.8727466751.

Adding to 155610400 its reverse (4016551), we get a palindrome (159626951).

The spelling of 155610400 in words is "one hundred fifty-five million, six hundred ten thousand, four hundred".