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145088370 = 2325717192331
BaseRepresentation
bin10001010010111…
…01111101110010
3101010000020211100
420221131331302
5244120311440
622221425230
73411142110
oct1051357562
9333006740
10145088370
1174998049
124070b216
132409c40b
14153aaab0
15cb0e230
hex8a5df72

145088370 has 384 divisors, whose sum is σ = 517570560. Its totient is φ = 27371520.

The previous prime is 145088369. The next prime is 145088413. The reversal of 145088370 is 73880541.

145088370 is a `hidden beast` number, since 1 + 4 + 508 + 83 + 70 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4680255 + ... + 4680285.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 2145088370 is an apocalyptic number.

145088370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145088370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258785280).

145088370 is an abundant number, since it is smaller than the sum of its proper divisors (372482190).

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

145088370 is a wasteful number, since it uses less digits than its factorization.

145088370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145088370 is about 12045.2633844180. The cubic root of 145088370 is about 525.4654919109.

The spelling of 145088370 in words is "one hundred forty-five million, eighty-eight thousand, three hundred seventy".