15114120152340 has 192 divisors, whose sum is σ = 46423625536512. Its totient is φ = 3643658035200.

The previous prime is 15114120152311. The next prime is 15114120152353. The reversal of 15114120152340 is 4325102141151.

15114120152340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15114120152298 and 15114120152307.

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, 357024975 + ... + 357067305.

It is an arithmetic number, because the mean of its divisors is an integer number (241789716336).

Almost surely, 2^{15114120152340} is an apocalyptic number.

15114120152340 is a gapful number since it is divisible by the number (10) 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 15114120152340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23211812768256).

15114120152340 is an abundant number, since it is smaller than the sum of its proper divisors (31309505384172).

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

15114120152340 is a wasteful number, since it uses less digits than its factorization.

15114120152340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45350 (or 45348 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 15114120152340 its reverse (4325102141151), we get a palindrome (19439222293491).

The spelling of 15114120152340 in words is "fifteen trillion, one hundred fourteen billion, one hundred twenty million, one hundred fifty-two thousand, three hundred forty".