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149135295072 = 25317238347869
BaseRepresentation
bin1000101011100100101…
…0000000001001100000
3112020221111100221201010
42022321022000021200
54420412113420242
6152302314540520
713526466043431
oct2127112001140
9466844327633
10149135295072
115827aa93585
1224aa1137740
13110a9392c3a
14730a9c1488
153d2cc2589c
hex22b9280260

149135295072 has 192 divisors, whose sum is σ = 437750853120. Its totient is φ = 44213182464.

The previous prime is 149135295053. The next prime is 149135295209. The reversal of 149135295072 is 270592531941.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3091554 + ... + 3139422.

It is an arithmetic number, because the mean of its divisors is an integer number (2279952360).

Almost surely, 2149135295072 is an apocalyptic number.

149135295072 is a gapful number since it is divisible by the number (12) 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 149135295072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218875426560).

149135295072 is an abundant number, since it is smaller than the sum of its proper divisors (288615558048).

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

149135295072 is a wasteful number, since it uses less digits than its factorization.

149135295072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48005 (or 47997 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 149135295072 in words is "one hundred forty-nine billion, one hundred thirty-five million, two hundred ninety-five thousand, seventy-two".