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149137452360 = 2332513313672801
BaseRepresentation
bin1000101011100101001…
…0001110110101001000
3112020221122102112221200
42022321102032311020
54420413141433420
6152302433104200
713526523300051
oct2127122166510
9466848375850
10149137452360
1158281227366
1224aa19b8060
13110a9969b40
14730adc3728
153d2ceeeb90
hex22b948ed48

149137452360 has 384 divisors, whose sum is σ = 540480245760. Its totient is φ = 35417088000.

The previous prime is 149137452337. The next prime is 149137452361. The reversal of 149137452360 is 63254731941.

149137452360 is a `hidden beast` number, since 1 + 4 + 9 + 137 + 452 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (149137452361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53242960 + ... + 53245760.

It is an arithmetic number, because the mean of its divisors is an integer number (1407500640).

Almost surely, 2149137452360 is an apocalyptic number.

149137452360 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 149137452360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270240122880).

149137452360 is an abundant number, since it is smaller than the sum of its proper divisors (391342793400).

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

149137452360 is a wasteful number, since it uses less digits than its factorization.

149137452360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 149137452360 in words is "one hundred forty-nine billion, one hundred thirty-seven million, four hundred fifty-two thousand, three hundred sixty".