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145040160132 = 2232721573671427
BaseRepresentation
bin1000011100010100010…
…0010011010110000100
3111212101002122112122200
42013011010103112010
54334020240111012
6150344105554500
713323142006500
oct2070504232604
9455332575580
10145040160132
115656943103a
12241397a5a30
13108a5b4227a
14703cb85300
153b8d45c3dc
hex21c5113584

145040160132 has 216 divisors, whose sum is σ = 430674701184. Its totient is φ = 41035123584.

The previous prime is 145040160119. The next prime is 145040160143. The reversal of 145040160132 is 231061040541.

It is a happy number.

145040160132 is a `hidden beast` number, since 1 + 4 + 50 + 4 + 0 + 1 + 601 + 3 + 2 = 666.

It is a super-2 number, since 2×1450401601322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145040160096 and 145040160105.

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, 101639203 + ... + 101640629.

Almost surely, 2145040160132 is an apocalyptic number.

145040160132 is a gapful number since it is divisible by the number (12) 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 145040160132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215337350592).

145040160132 is an abundant number, since it is smaller than the sum of its proper divisors (285634541052).

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

145040160132 is a wasteful number, since it uses less digits than its factorization.

145040160132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 145040160132 in words is "one hundred forty-five billion, forty million, one hundred sixty thousand, one hundred thirty-two".