155830147200 has 1152 divisors, whose sum is σ = 703287486720. Its totient is φ = 31969935360.

The previous prime is 155830147183. The next prime is 155830147217. The reversal of 155830147200 is 2741038551.

155830147200 is a `hidden beast` number, since 1 + 5 + 583 + 0 + 1 + 4 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (155830147183) and next prime (155830147217).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×155830147200³ (a number of 35 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 96968797 + ... + 96970403.

It is an arithmetic number, because the mean of its divisors is an integer number (610492610).

Almost surely, 2^155830147200 is an apocalyptic number.

155830147200 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 155830147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351643743360).

155830147200 is an abundant number, since it is smaller than the sum of its proper divisors (547457339520).

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

155830147200 is a wasteful number, since it uses less digits than its factorization.

155830147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 155830147200 in words is "one hundred fifty-five billion, eight hundred thirty million, one hundred forty-seven thousand, two hundred".