361552140 has 192 divisors, whose sum is σ = 1197504000. Its totient is φ = 90305280.

The previous prime is 361552133. The next prime is 361552151. The reversal of 361552140 is 41255163.

361552140 is a `hidden beast` number, since 3 + 615 + 5 + 2 + 1 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1343926 + ... + 1344194.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^361552140 is an apocalyptic number.

361552140 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 361552140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

361552140 is an abundant number, since it is smaller than the sum of its proper divisors (835951860).

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

361552140 is a wasteful number, since it uses less digits than its factorization.

361552140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

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

The square root of 361552140 is about 19014.5244484315. The cubic root of 361552140 is about 712.3995647905.

It can be divided in two parts, 3615 and 52140, that added together give a palindrome (55755).

The spelling of 361552140 in words is "three hundred sixty-one million, five hundred fifty-two thousand, one hundred forty".