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132545110400 = 2752172331433
BaseRepresentation
bin111101101110001001…
…1011110000110000000
3110200010022000020201222
41323130103132012000
54132423022013100
6140520153414212
712401406564203
oct1733423360600
9420108006658
10132545110400
115123729425a
122183110a368
13c664269911
1465b54dd93a
1536ab500485
hex1edc4de180

132545110400 has 288 divisors, whose sum is σ = 349677801480. Its totient is φ = 49633689600.

The previous prime is 132545110393. The next prime is 132545110429. The reversal of 132545110400 is 4011545231.

It is a self number, because there is not a number n which added to its sum of digits gives 132545110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 306108584 + ... + 306109016.

Almost surely, 2132545110400 is an apocalyptic number.

132545110400 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 132545110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174838900740).

132545110400 is an abundant number, since it is smaller than the sum of its proper divisors (217132691080).

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

132545110400 is a wasteful number, since it uses less digits than its factorization.

132545110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 132545110400 its reverse (4011545231), we get a palindrome (136556655631).

The spelling of 132545110400 in words is "one hundred thirty-two billion, five hundred forty-five million, one hundred ten thousand, four hundred".