132974189040 has 1440 divisors, whose sum is σ = 584782571520. Its totient is φ = 24770887680.

The previous prime is 132974188993. The next prime is 132974189041. The reversal of 132974189040 is 40981479231.

It is a super-2 number, since 2×132974189040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132974189041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 556377241 + ... + 556377479.

It is an arithmetic number, because the mean of its divisors is an integer number (406099008).

Almost surely, 2^132974189040 is an apocalyptic number.

132974189040 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 132974189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292391285760).

132974189040 is an abundant number, since it is smaller than the sum of its proper divisors (451808382480).

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

132974189040 is a wasteful number, since it uses less digits than its factorization.

132974189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

Subtracting from 132974189040 its reverse (40981479231), we obtain a square (91992709809 = 303303²).

The spelling of 132974189040 in words is "one hundred thirty-two billion, nine hundred seventy-four million, one hundred eighty-nine thousand, forty".