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145356480 = 26325411231
BaseRepresentation
bin10001010100111…
…11011011000000
3101010111212121100
420222133123000
5244202401410
622231254400
73413336553
oct1052373300
9333455540
10145356480
1175060525
124081a400
1324164469
141543a69a
15cb638c0
hex8a9f6c0

145356480 has 168 divisors, whose sum is σ = 512576064. Its totient is φ = 37785600.

The previous prime is 145356467. The next prime is 145356493. The reversal of 145356480 is 84653541.

It is a happy number.

145356480 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 5 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145356467) and next prime (145356493).

It is a super-2 number, since 2×1453564802 = 42257012555980800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117465 + ... + 118695.

It is an arithmetic number, because the mean of its divisors is an integer number (3051048).

Almost surely, 2145356480 is an apocalyptic number.

145356480 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 145356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256288032).

145356480 is an abundant number, since it is smaller than the sum of its proper divisors (367219584).

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

145356480 is a wasteful number, since it uses less digits than its factorization.

145356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1282 counting only the distinct ones).

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

The square root of 145356480 is about 12056.3875186558. The cubic root of 145356480 is about 525.7889634216.

The spelling of 145356480 in words is "one hundred forty-five million, three hundred fifty-six thousand, four hundred eighty".