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149137664 = 2813411093
BaseRepresentation
bin10001110001110…
…10100100000000
3101101121222102012
420320322210000
5301134401124
622444312052
73460435454
oct1070724400
9341558365
10149137664
1177203375
1241b42628
1324b89550
1415b42664
15d15de0e
hex8e3a900

149137664 has 72 divisors (see below), whose sum is σ = 328711992. Its totient is φ = 67092480.

The previous prime is 149137657. The next prime is 149137679. The reversal of 149137664 is 466731941.

It can be written as a sum of positive squares in 4 ways, for example, as 8952064 + 140185600 = 2992^2 + 11840^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135902 + ... + 136994.

Almost surely, 2149137664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164355996).

149137664 is an abundant number, since it is smaller than the sum of its proper divisors (179574328).

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

149137664 is a wasteful number, since it uses less digits than its factorization.

149137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1149 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 149137664 is about 12212.1932510094. The cubic root of 149137664 is about 530.3091396919.

The spelling of 149137664 in words is "one hundred forty-nine million, one hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 256 328 416 533 656 832 1066 1093 1312 1664 2132 2186 2624 3328 4264 4372 5248 8528 8744 10496 14209 17056 17488 28418 34112 34976 44813 56836 68224 69952 89626 113672 136448 139904 179252 227344 279808 358504 454688 582569 717008 909376 1165138 1434016 1818752 2330276 2868032 3637504 4660552 5736064 9321104 11472128 18642208 37284416 74568832 149137664