132588121400 has 96 divisors (see below), whose sum is σ = 352810766880. Its totient is φ = 45393600000.

The previous prime is 132588121387. The next prime is 132588121409. The reversal of 132588121400 is 4121885231.

It is a super-2 number, since 2×132588121400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132588121409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913850 + ... + 1048950.

It is an arithmetic number, because the mean of its divisors is an integer number (3675112155).

Almost surely, 2^132588121400 is an apocalyptic number.

132588121400 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 132588121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176405383440).

132588121400 is an abundant number, since it is smaller than the sum of its proper divisors (220222645480).

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

132588121400 is a wasteful number, since it uses less digits than its factorization.

132588121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135825 (or 135816 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 132588121400 in words is "one hundred thirty-two billion, five hundred eighty-eight million, one hundred twenty-one thousand, four hundred".