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149608368000 = 2732537313233
BaseRepresentation
bin1000101101010101011…
…0101000011110000000
3112022011110112112202200
42023111112220132000
54422344220234000
6152421254313200
713544302101000
oct2132526503600
9468143475680
10149608368000
11584a3029243
1224bb3658800
13111533aa950
147353768000
153d59520500
hex22d55a8780

149608368000 has 1536 divisors, whose sum is σ = 677660256000. Its totient is φ = 31430246400.

The previous prime is 149608367999. The next prime is 149608368061. The reversal of 149608368000 is 863806941.

149608368000 is a `hidden beast` number, since 1 + 4 + 9 + 608 + 36 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 642095884 + ... + 642096116.

Almost surely, 2149608368000 is an apocalyptic number.

149608368000 is a gapful number since it is divisible by the number (10) 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 149608368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338830128000).

149608368000 is an abundant number, since it is smaller than the sum of its proper divisors (528051888000).

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

149608368000 is a wasteful number, since it uses less digits than its factorization.

149608368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 149608368000 in words is "one hundred forty-nine billion, six hundred eight million, three hundred sixty-eight thousand".