2153513142 has 96 divisors (see below), whose sum is σ = 5298943104. Its totient is φ = 650073600.

The previous prime is 2153513123. The next prime is 2153513179. The reversal of 2153513142 is 2413153512.

2153513142 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 513 + 142 = 666.

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

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, 1768918 + ... + 1770134.

It is an arithmetic number, because the mean of its divisors is an integer number (55197324).

Almost surely, 2^2153513142 is an apocalyptic number.

2153513142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153513142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649471552).

2153513142 is an abundant number, since it is smaller than the sum of its proper divisors (3145429962).

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

2153513142 is a wasteful number, since it uses less digits than its factorization.

2153513142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2153513142 is about 46405.9601990951. The cubic root of 2153513142 is about 1291.3654875751.

Adding to 2153513142 its reverse (2413153512), we get a palindrome (4566666654).

The spelling of 2153513142 in words is "two billion, one hundred fifty-three million, five hundred thirteen thousand, one hundred forty-two".