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149078142 = 232193491249
BaseRepresentation
bin10001110001011…
…00000001111110
3101101111221202200
420320230001332
5301131000032
622443132330
73460100103
oct1070540176
9341457680
10149078142
1177172684
1241b140a6
1324b68425
1415b28aaa
15d14b47c
hex8e2c07e

149078142 has 48 divisors (see below), whose sum is σ = 341250000. Its totient is φ = 46904832.

The previous prime is 149078099. The next prime is 149078147. The reversal of 149078142 is 241870941.

It is a junction number, because it is equal to n+sod(n) for n = 149078097 and 149078106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149078147) by changing a digit.

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, 118734 + ... + 119982.

It is an arithmetic number, because the mean of its divisors is an integer number (7109375).

Almost surely, 2149078142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149078142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170625000).

149078142 is an abundant number, since it is smaller than the sum of its proper divisors (192171858).

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

149078142 is a wasteful number, since it uses less digits than its factorization.

149078142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 149078142 is about 12209.7560172184. The cubic root of 149078142 is about 530.2385801387.

The spelling of 149078142 in words is "one hundred forty-nine million, seventy-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 349 698 1047 1249 2094 2498 3141 3747 6282 6631 7494 11241 13262 19893 22482 23731 39786 47462 59679 71193 119358 142386 213579 427158 435901 871802 1307703 2615406 3923109 7846218 8282119 16564238 24846357 49692714 74539071 149078142