1537738960 has 40 divisors (see below), whose sum is σ = 3577974120. Its totient is φ = 614625792.

The previous prime is 1537738933. The next prime is 1537739009. The reversal of 1537738960 is 698377351.

1537738960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1104099984 + 433638976 = 33228^2 + 20824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1537738960² = 4729282218203763200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109626 + ... + 122854.

It is an arithmetic number, because the mean of its divisors is an integer number (89449353).

Almost surely, 2^1537738960 is an apocalyptic number.

1537738960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1537738960 is an abundant number, since it is smaller than the sum of its proper divisors (2040235160).

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

1537738960 is a wasteful number, since it uses less digits than its factorization.

1537738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14695 (or 14689 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The square root of 1537738960 is about 39214.0148416354. The cubic root of 1537738960 is about 1154.2349111829.

The spelling of 1537738960 in words is "one billion, five hundred thirty-seven million, seven hundred thirty-eight thousand, nine hundred sixty".