361152000 has 640 divisors, whose sum is σ = 1532044800. Its totient is φ = 82944000.

The previous prime is 361151983. The next prime is 361152013. The reversal of 361152000 is 251163.

361152000 is a `hidden beast` number, since 3 + 611 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19007991 + ... + 19008009.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 2^361152000 is an apocalyptic number.

361152000 is a gapful number since it is divisible by the number (30) 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 361152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766022400).

361152000 is an abundant number, since it is smaller than the sum of its proper divisors (1170892800).

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

361152000 is a wasteful number, since it uses less digits than its factorization.

361152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 361152000 is about 19003.9995790360. Note that the first 3 decimals coincide. The cubic root of 361152000 is about 712.1366568480.

It can be divided in two parts, 3611 and 52000, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 361152000 in words is "three hundred sixty-one million, one hundred fifty-two thousand".