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149999976 = 233272174161
BaseRepresentation
bin10001111000011…
…01000101101000
3101110020210021200
420330031011220
5301344444401
622515004200
73500656500
oct1074150550
9343223250
10149999976
1177742225
1242299660
13250cbba9
1415cc8a00
15d27e686
hex8f0d168

149999976 has 288 divisors, whose sum is σ = 520982280. Its totient is φ = 38707200.

The previous prime is 149999957. The next prime is 150000001. The reversal of 149999976 is 679999941.

It can be divided in two parts, 149999 and 976, that added together give a triangular number (150975 = T549).

149999976 = 702 + 712 + ... + 7662.

It can be written as a sum of positive squares in 4 ways, for example, as 68459076 + 81540900 = 8274^2 + 9030^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2458986 + ... + 2459046.

Almost surely, 2149999976 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 149999976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260491140).

149999976 is an abundant number, since it is smaller than the sum of its proper divisors (370982304).

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

149999976 is a wasteful number, since it uses less digits than its factorization.

149999976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its digits is 9920232, while the sum is 63.

The square root of 149999976 is about 12247.4477341200. The cubic root of 149999976 is about 531.3292562537.

The spelling of 149999976 in words is "one hundred forty-nine million, nine hundred ninety-nine thousand, nine hundred seventy-six".