155601600 has 336 divisors, whose sum is σ = 637982976. Its totient is φ = 32256000.

The previous prime is 155601577. The next prime is 155601643. The reversal of 155601600 is 6106551.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369390 + ... + 369810.

Almost surely, 2^155601600 is an apocalyptic number.

155601600 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 155601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318991488).

155601600 is an abundant number, since it is smaller than the sum of its proper divisors (482381376).

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

155601600 is a wasteful number, since it uses less digits than its factorization.

155601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 155601600 is about 12474.0370369821. The cubic root of 155601600 is about 537.8626073155.

The spelling of 155601600 in words is "one hundred fifty-five million, six hundred one thousand, six hundred".