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149935104 = 21033111729
BaseRepresentation
bin10001110111111…
…01010000000000
3101110010111022000
420323331100000
5301340410404
622513344000
73500266404
oct1073752000
9343114260
10149935104
11776a8510
1242268000
13250a84c7
1415cad104
15d26a339
hex8efd400

149935104 has 352 divisors, whose sum is σ = 530582400. Its totient is φ = 41287680.

The previous prime is 149935081. The next prime is 149935111. The reversal of 149935104 is 401539941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1499351042 = 44961070822981632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5170162 + ... + 5170190.

Almost surely, 2149935104 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 149935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265291200).

149935104 is an abundant number, since it is smaller than the sum of its proper divisors (380647296).

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

149935104 is a wasteful number, since it uses less digits than its factorization.

149935104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 149935104 is about 12244.7990591924. The cubic root of 149935104 is about 531.2526487711.

The spelling of 149935104 in words is "one hundred forty-nine million, nine hundred thirty-five thousand, one hundred four".