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149136912 = 24325319541
BaseRepresentation
bin10001110001110…
…10011000010000
3101101121221101100
420320322120100
5301134340122
622444304400
73460433331
oct1070723020
9341557340
10149136912
1177202851
1241b42100
1324b890c2
1415b42288
15d15daac
hex8e3a610

149136912 has 60 divisors (see below), whose sum is σ = 425273004. Its totient is φ = 48771840.

The previous prime is 149136901. The next prime is 149136919. The reversal of 149136912 is 219631941.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71978256 + 77158656 = 8484^2 + 8784^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (149136919) 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 11 ways as a sum of consecutive naturals, for example, 2139 + ... + 17402.

Almost surely, 2149136912 is an apocalyptic number.

149136912 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 149136912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212636502).

149136912 is an abundant number, since it is smaller than the sum of its proper divisors (276136092).

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

149136912 is a wasteful number, since it uses less digits than its factorization.

149136912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19608 (or 19599 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 149136912 is about 12212.1624620703. The cubic root of 149136912 is about 530.3082483607.

The spelling of 149136912 in words is "one hundred forty-nine million, one hundred thirty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 19541 39082 58623 78164 117246 156328 175869 234492 312656 351738 468984 703476 937968 1035673 1406952 2071346 2813904 3107019 4142692 6214038 8285384 9321057 12428076 16570768 18642114 24856152 37284228 49712304 74568456 149136912