155034961200 has 1440 divisors, whose sum is σ = 716220230400. Its totient is φ = 31561850880.

The previous prime is 155034961189. The next prime is 155034961223. The reversal of 155034961200 is 2169430551.

155034961200 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 34 + 9 + 612 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 170931147 + ... + 170932053.

It is an arithmetic number, because the mean of its divisors is an integer number (497375160).

Almost surely, 2^155034961200 is an apocalyptic number.

155034961200 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 155034961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358110115200).

155034961200 is an abundant number, since it is smaller than the sum of its proper divisors (561185269200).

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

155034961200 is a wasteful number, since it uses less digits than its factorization.

155034961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 155034961200 in words is "one hundred fifty-five billion, thirty-four million, nine hundred sixty-one thousand, two hundred".