1537972920 has 240 divisors, whose sum is σ = 5683403880. Its totient is φ = 372746880.

The previous prime is 1537972907. The next prime is 1537972951. The reversal of 1537972920 is 292797351.

1537972920 is a `hidden beast` number, since 1 + 537 + 97 + 2 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 390079 + ... + 394001.

Almost surely, 2^1537972920 is an apocalyptic number.

1537972920 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 1537972920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841701940).

1537972920 is an abundant number, since it is smaller than the sum of its proper divisors (4145430960).

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

1537972920 is a wasteful number, since it uses less digits than its factorization.

1537972920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 1537972920 is about 39216.9978453221. The cubic root of 1537972920 is about 1154.2934454146.

The spelling of 1537972920 in words is "one billion, five hundred thirty-seven million, nine hundred seventy-two thousand, nine hundred twenty".