132740400 has 240 divisors, whose sum is σ = 468414464. Its totient is φ = 31933440.

The previous prime is 132740389. The next prime is 132740401. The reversal of 132740400 is 4047231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132740401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045137 + ... + 1045263.

Almost surely, 2^132740400 is an apocalyptic number.

132740400 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 132740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234207232).

132740400 is an abundant number, since it is smaller than the sum of its proper divisors (335674064).

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

132740400 is a wasteful number, since it uses less digits than its factorization.

132740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 132740400 is about 11521.3020097557. The cubic root of 132740400 is about 510.1145455900.

Adding to 132740400 its reverse (4047231), we get a palindrome (136787631).

The spelling of 132740400 in words is "one hundred thirty-two million, seven hundred forty thousand, four hundred".