7149505140 has 144 divisors (see below), whose sum is σ = 22475653200. Its totient is φ = 1837430784.

The previous prime is 7149505049. The next prime is 7149505163. The reversal of 7149505140 is 415059417.

7149505140 is a `hidden beast` number, since 7 + 1 + 4 + 9 + 505 + 140 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 67272804 + 7082232336 = 8202^2 + 84156^2 .

It is a super-2 number, since 2×7149505140² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7149505095 and 7149505104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4222134 + ... + 4223826.

It is an arithmetic number, because the mean of its divisors is an integer number (156080925).

Almost surely, 2^7149505140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7149505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237826600).

7149505140 is an abundant number, since it is smaller than the sum of its proper divisors (15326148060).

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

7149505140 is a wasteful number, since it uses less digits than its factorization.

7149505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 7149505140 is about 84554.7464072834. The cubic root of 7149505140 is about 1926.4540778410.

The spelling of 7149505140 in words is "seven billion, one hundred forty-nine million, five hundred five thousand, one hundred forty".