155606400 has 192 divisors, whose sum is σ = 569792400. Its totient is φ = 41472000.

The previous prime is 155606393. The next prime is 155606411. The reversal of 155606400 is 4606551.

It is a happy number.

155606400 is a `hidden beast` number, since 1 + 55 + 606 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85500 + ... + 87300.

Almost surely, 2^155606400 is an apocalyptic number.

155606400 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 155606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284896200).

155606400 is an abundant number, since it is smaller than the sum of its proper divisors (414186000).

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

155606400 is a wasteful number, since it uses less digits than its factorization.

155606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 155606400 is about 12474.2294351194. The cubic root of 155606400 is about 537.8681379227.

The spelling of 155606400 in words is "one hundred fifty-five million, six hundred six thousand, four hundred".