36131415120 has 320 divisors, whose sum is σ = 136028436480. Its totient is φ = 8775475200.

The previous prime is 36131415097. The next prime is 36131415127. The reversal of 36131415120 is 2151413163.

It is a happy number.

36131415120 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 141 + 512 + 0 = 666.

It is a super-2 number, since 2×36131415120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36131415127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122450 + ... + 1154190.

It is an arithmetic number, because the mean of its divisors is an integer number (425088864).

Almost surely, 2^36131415120 is an apocalyptic number.

36131415120 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 36131415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68014218240).

36131415120 is an abundant number, since it is smaller than the sum of its proper divisors (99897021360).

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

36131415120 is a wasteful number, since it uses less digits than its factorization.

36131415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31811 (or 31799 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 36131415120 its reverse (2151413163), we get a palindrome (38282828283).

The spelling of 36131415120 in words is "thirty-six billion, one hundred thirty-one million, four hundred fifteen thousand, one hundred twenty".