Search a number
-
+
137969952 = 2531437187
BaseRepresentation
bin10000011100101…
…00000100100000
3100121121121012020
420032110010200
5240310014302
621405101440
73263503521
oct1016240440
9317547166
10137969952
117097595a
123a257880
1322779333
1414476848
15c1a4ebc
hex8394120

137969952 has 24 divisors (see below), whose sum is σ = 362171376. Its totient is φ = 45989952.

The previous prime is 137969947. The next prime is 137969989. The reversal of 137969952 is 259969731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 137969895 and 137969904.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 718498 + ... + 718689.

It is an arithmetic number, because the mean of its divisors is an integer number (15090474).

Almost surely, 2137969952 is an apocalyptic number.

137969952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137969952 is an abundant number, since it is smaller than the sum of its proper divisors (224201424).

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

137969952 is a wasteful number, since it uses less digits than its factorization.

137969952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437200 (or 1437192 counting only the distinct ones).

The product of its digits is 918540, while the sum is 51.

The square root of 137969952 is about 11746.0611270332. The cubic root of 137969952 is about 516.7274158653.

The spelling of 137969952 in words is "one hundred thirty-seven million, nine hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1437187 2874374 4311561 5748748 8623122 11497496 17246244 22994992 34492488 45989984 68984976 137969952