5145507990 has 512 divisors, whose sum is σ = 17570304000. Its totient is φ = 1058158080.

The previous prime is 5145507989. The next prime is 5145508007. The reversal of 5145507990 is 997055415.

5145507990 is a `hidden beast` number, since 5 + 1 + 4 + 550 + 7 + 9 + 90 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84352560 + ... + 84352620.

It is an arithmetic number, because the mean of its divisors is an integer number (34317000).

Almost surely, 2^5145507990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145507990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785152000).

5145507990 is an abundant number, since it is smaller than the sum of its proper divisors (12424796010).

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

5145507990 is a wasteful number, since it uses less digits than its factorization.

5145507990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The square root of 5145507990 is about 71732.1963277300. The cubic root of 5145507990 is about 1726.4052669901.

The spelling of 5145507990 in words is "five billion, one hundred forty-five million, five hundred seven thousand, nine hundred ninety".