15000151634240 has 224 divisors, whose sum is σ = 38509584875520. Its totient is φ = 5546862913536.

The previous prime is 15000151634227. The next prime is 15000151634243. The reversal of 15000151634240 is 4243615100051.

15000151634240 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 15000151634197 and 15000151634206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15000151634243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284158889 + ... + 284211671.

Almost surely, 2^{15000151634240} is an apocalyptic number.

15000151634240 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 15000151634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254792437760).

15000151634240 is an abundant number, since it is smaller than the sum of its proper divisors (23509433241280).

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

15000151634240 is a wasteful number, since it uses less digits than its factorization.

15000151634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53949 (or 53939 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 15000151634240 its reverse (4243615100051), we get a palindrome (19243766734291).

The spelling of 15000151634240 in words is "fifteen trillion, one hundred fifty-one million, six hundred thirty-four thousand, two hundred forty".