155282400 has 576 divisors, whose sum is σ = 699955200. Its totient is φ = 32348160.

The previous prime is 155282399. The next prime is 155282411. The reversal of 155282400 is 4282551.

It is a happy number.

It is a super-2 number, since 2×155282400² = 48225247499520000, which contains 22 as substring.

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1965561 + ... + 1965639.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 2^155282400 is an apocalyptic number.

155282400 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 155282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

155282400 is an abundant number, since it is smaller than the sum of its proper divisors (544672800).

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

155282400 is a wasteful number, since it uses less digits than its factorization.

155282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 155282400 is about 12461.2358937627. The cubic root of 155282400 is about 537.4945663774.

The spelling of 155282400 in words is "one hundred fifty-five million, two hundred eighty-two thousand, four hundred".