132014153213440 has 160 divisors (see below), whose sum is σ = 335155840867584. Its totient is φ = 49697638318080.

The previous prime is 132014153213407. The next prime is 132014153213473. The reversal of 132014153213440 is 44312351410231.

It is an interprime number because it is at equal distance from previous prime (132014153213407) and next prime (132014153213473).

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

It is a super-2 number, since 2×132014153213440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 132014153213396 and 132014153213405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265491505 + ... + 2265549775.

Almost surely, 2^{132014153213440} is an apocalyptic number.

132014153213440 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 132014153213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167577920433792).

132014153213440 is an abundant number, since it is smaller than the sum of its proper divisors (203141687654144).

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

132014153213440 is an equidigital number, since it uses as much as digits as its factorization.

132014153213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110368 (or 110352 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 132014153213440 in words is "one hundred thirty-two trillion, fourteen billion, one hundred fifty-three million, two hundred thirteen thousand, four hundred forty".