155742400 has 84 divisors (see below), whose sum is σ = 418109400. Its totient is φ = 56627200.

The previous prime is 155742347. The next prime is 155742403. The reversal of 155742400 is 4247551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155742403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13176 + ... + 22024.

Almost surely, 2^155742400 is an apocalyptic number.

155742400 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 155742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209054700).

155742400 is an abundant number, since it is smaller than the sum of its proper divisors (262367000).

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

155742400 is a wasteful number, since it uses less digits than its factorization.

155742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8867 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 155742400 is about 12479.6794830637. The cubic root of 155742400 is about 538.0247912181.

Adding to 155742400 its reverse (4247551), we get a palindrome (159989951).

The spelling of 155742400 in words is "one hundred fifty-five million, seven hundred forty-two thousand, four hundred".