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158974144 = 267734861
BaseRepresentation
bin10010111100111…
…00000011000000
3102002010201112021
421132130003000
5311144133034
623435211224
73640154320
oct1136340300
9362121467
10158974144
118181169a
12452a6b14
1326c21854
1417183280
15de536b4
hex979c0c0

158974144 has 56 divisors (see below), whose sum is σ = 365544608. Its totient is φ = 67184640.

The previous prime is 158974141. The next prime is 158974171. The reversal of 158974144 is 441479851.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 158974144.

It is not an unprimeable number, because it can be changed into a prime (158974141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30274 + ... + 35134.

Almost surely, 2158974144 is an apocalyptic number.

158974144 is a gapful number since it is divisible by the number (14) 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 158974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182772304).

158974144 is an abundant number, since it is smaller than the sum of its proper divisors (206570464).

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

158974144 is an equidigital number, since it uses as much as digits as its factorization.

158974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4943 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 158974144 is about 12608.4949141442. The cubic root of 158974144 is about 541.7207840946.

The spelling of 158974144 in words is "one hundred fifty-eight million, nine hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 448 511 584 1022 1168 2044 2336 4088 4672 4861 8176 9722 16352 19444 32704 34027 38888 68054 77776 136108 155552 272216 311104 354853 544432 709706 1088864 1419412 2177728 2483971 2838824 4967942 5677648 9935884 11355296 19871768 22710592 39743536 79487072 158974144