132653513131520 has 160 divisors (see below), whose sum is σ = 318366275040000. Its totient is φ = 53009925636096.

The previous prime is 132653513131507. The next prime is 132653513131523. The reversal of 132653513131520 is 25131315356231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×132653513131520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132653513131523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14053762961 + ... + 14053772399.

It is an arithmetic number, because the mean of its divisors is an integer number (1989789219000).

Almost surely, 2^{132653513131520} is an apocalyptic number.

132653513131520 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 132653513131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159183137520000).

132653513131520 is an abundant number, since it is smaller than the sum of its proper divisors (185712761908480).

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

132653513131520 is an equidigital number, since it uses as much as digits as its factorization.

132653513131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14208 (or 14192 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 41.

Adding to 132653513131520 its reverse (25131315356231), we get a palindrome (157784828487751).

The spelling of 132653513131520 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred thirteen million, one hundred thirty-one thousand, five hundred twenty".