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145527900 = 223527232131
BaseRepresentation
bin10001010110010…
…01010001011100
3101010211120202020
420223021101130
5244223343100
622235100140
73414652410
oct1053112134
9333746666
10145527900
11751682a1
12408a1650
13241c44ab
1415482d40
15cb995a0
hex8ac945c

145527900 has 216 divisors, whose sum is σ = 506884224. Its totient is φ = 31574400.

The previous prime is 145527869. The next prime is 145527917. The reversal of 145527900 is 9725541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1110835 + ... + 1110965.

Almost surely, 2145527900 is an apocalyptic number.

145527900 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 145527900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253442112).

145527900 is an abundant number, since it is smaller than the sum of its proper divisors (361356324).

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

145527900 is a wasteful number, since it uses less digits than its factorization.

145527900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 145527900 is about 12063.4945185879. The cubic root of 145527900 is about 525.9955711965.

The spelling of 145527900 in words is "one hundred forty-five million, five hundred twenty-seven thousand, nine hundred".