1500137500240 has 80 divisors (see below), whose sum is σ = 3520370106000. Its totient is φ = 594456662016.

The previous prime is 1500137500229. The next prime is 1500137500243. The reversal of 1500137500240 is 420057310051.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 127837711936 + 1372299788304 = 357544^2 + 1171452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1500137500199 and 1500137500208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1500137500243) 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, 90095436 + ... + 90112084.

It is an arithmetic number, because the mean of its divisors is an integer number (44004626325).

Almost surely, 2^{1500137500240} is an apocalyptic number.

1500137500240 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 1500137500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760185053000).

1500137500240 is an abundant number, since it is smaller than the sum of its proper divisors (2020232605760).

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

1500137500240 is a wasteful number, since it uses less digits than its factorization.

1500137500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27104 (or 27098 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 1500137500240 in words is "one trillion, five hundred billion, one hundred thirty-seven million, five hundred thousand, two hundred forty".