361153540 has 48 divisors (see below), whose sum is σ = 834269184. Its totient is φ = 131318880.

The previous prime is 361153531. The next prime is 361153547. The reversal of 361153540 is 45351163.

It is a junction number, because it is equal to n+sod(n) for n = 361153499 and 361153508.

It is not an unprimeable number, because it can be changed into a prime (361153547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19837 + ... + 33403.

It is an arithmetic number, because the mean of its divisors is an integer number (17380608).

Almost surely, 2^361153540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361153540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417134592).

361153540 is an abundant number, since it is smaller than the sum of its proper divisors (473115644).

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

361153540 is a wasteful number, since it uses less digits than its factorization.

361153540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13609 (or 13585 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 361153540 is about 19004.0400967794. The cubic root of 361153540 is about 712.1376690616.

The spelling of 361153540 in words is "three hundred sixty-one million, one hundred fifty-three thousand, five hundred forty".