132153623413640 has 128 divisors (see below), whose sum is σ = 305915407331040. Its totient is φ = 51342969839616.

The previous prime is 132153623413639. The next prime is 132153623413723. The reversal of 132153623413640 is 46314326351231.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 111712681414084 + 20440941999556 = 10569422^2 + 4521166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132153623413591 and 132153623413600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4225249682 + ... + 4225280958.

Almost surely, 2^{132153623413640} is an apocalyptic number.

132153623413640 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 132153623413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152957703665520).

132153623413640 is an abundant number, since it is smaller than the sum of its proper divisors (173761783917400).

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

132153623413640 is a wasteful number, since it uses less digits than its factorization.

132153623413640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36219 (or 36215 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

Adding to 132153623413640 its reverse (46314326351231), we get a palindrome (178467949764871).

The spelling of 132153623413640 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, six hundred twenty-three million, four hundred thirteen thousand, six hundred forty".