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149001372 = 2232131811759
BaseRepresentation
bin10001110000110…
…01010010011100
3101101101001110100
420320121102130
5301121020442
622441341100
73456330222
oct1070312234
9341331410
10149001372
117711aa33
1241a97790
1324b3c4c0
1415b08b12
15d13384c
hex8e1949c

149001372 has 72 divisors (see below), whose sum is σ = 408087680. Its totient is φ = 45567360.

The previous prime is 149001371. The next prime is 149001389. The reversal of 149001372 is 273100941.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149001371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83829 + ... + 85587.

Almost surely, 2149001372 is an apocalyptic number.

149001372 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 149001372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204043840).

149001372 is an abundant number, since it is smaller than the sum of its proper divisors (259086308).

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

149001372 is a wasteful number, since it uses less digits than its factorization.

149001372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 149001372 is about 12206.6118149141. The cubic root of 149001372 is about 530.1475464371.

The spelling of 149001372 in words is "one hundred forty-nine million, one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 724 1086 1629 1759 2172 2353 3258 3518 4706 5277 6516 7036 7059 9412 10554 14118 15831 21108 21177 22867 28236 31662 42354 45734 63324 68601 84708 91468 137202 205803 274404 318379 411606 636758 823212 955137 1273516 1910274 2865411 3820548 4138927 5730822 8277854 11461644 12416781 16555708 24833562 37250343 49667124 74500686 149001372