1537920000 has 440 divisors, whose sum is σ = 5755345200. Its totient is φ = 405504000.

The previous prime is 1537919993. The next prime is 1537920023. The reversal of 1537920000 is 297351.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279956 + ... + 17280044.

It is an arithmetic number, because the mean of its divisors is an integer number (13080330).

Almost surely, 2^1537920000 is an apocalyptic number.

1537920000 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 1537920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877672600).

1537920000 is an abundant number, since it is smaller than the sum of its proper divisors (4217425200).

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

1537920000 is an frugal number, since it uses more digits than its factorization.

1537920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1537920000 is about 39216.3231320837. The cubic root of 1537920000 is about 1154.2802059292.

The spelling of 1537920000 in words is "one billion, five hundred thirty-seven million, nine hundred twenty thousand".