361513152 has 672 divisors, whose sum is σ = 1513433600. Its totient is φ = 82114560.

The previous prime is 361513127. The next prime is 361513157. The reversal of 361513152 is 251315163.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (361513157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19026999 + ... + 19027017.

Almost surely, 2^361513152 is an apocalyptic number.

361513152 is a gapful number since it is divisible by the number (32) 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 361513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756716800).

361513152 is an abundant number, since it is smaller than the sum of its proper divisors (1151920448).

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

361513152 is a wasteful number, since it uses less digits than its factorization.

361513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 361513152 is about 19013.4992045126. The cubic root of 361513152 is about 712.3739566512.

The spelling of 361513152 in words is "three hundred sixty-one million, five hundred thirteen thousand, one hundred fifty-two".