132551834400 has 864 divisors, whose sum is σ = 504096360768. Its totient is φ = 33965568000.

The previous prime is 132551834383. The next prime is 132551834417. The reversal of 132551834400 is 4438155231.

132551834400 is a `hidden beast` number, since 1 + 32 + 5 + 5 + 183 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132551834383) and next prime (132551834417).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 844279122 + ... + 844279278.

It is an arithmetic number, because the mean of its divisors is an integer number (583444862).

Almost surely, 2^132551834400 is an apocalyptic number.

132551834400 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 132551834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252048180384).

132551834400 is an abundant number, since it is smaller than the sum of its proper divisors (371544526368).

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

132551834400 is a wasteful number, since it uses less digits than its factorization.

132551834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 132551834400 its reverse (4438155231), we get a palindrome (136989989631).

The spelling of 132551834400 in words is "one hundred thirty-two billion, five hundred fifty-one million, eight hundred thirty-four thousand, four hundred".