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137469952 = 21397173
BaseRepresentation
bin10000011000110…
…10000000000000
3100120200012022201
420030122000000
5240143014302
621350242544
73256322014
oct1014320000
9316605281
10137469952
1170664234
123a056454
1322632889
1414386544
15c106c87
hex831a000

137469952 has 56 divisors (see below), whose sum is σ = 279362916. Its totient is φ = 67633152.

The previous prime is 137469931. The next prime is 137469953. The reversal of 137469952 is 259964731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131239936 + 6230016 = 11456^2 + 2496^2 .

It is not an unprimeable number, because it can be changed into a prime (137469953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 794538 + ... + 794710.

Almost surely, 2137469952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139681458).

137469952 is an abundant number, since it is smaller than the sum of its proper divisors (141892964).

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

137469952 is an frugal number, since it uses more digits than its factorization.

137469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 272 counting only the distinct ones).

The product of its digits is 408240, while the sum is 46.

The square root of 137469952 is about 11724.7580785277. The cubic root of 137469952 is about 516.1024574704.

The spelling of 137469952 in words is "one hundred thirty-seven million, four hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 128 173 194 256 346 388 512 692 776 1024 1384 1552 2048 2768 3104 4096 5536 6208 8192 11072 12416 16781 22144 24832 33562 44288 49664 67124 88576 99328 134248 177152 198656 268496 354304 397312 536992 708608 794624 1073984 1417216 2147968 4295936 8591872 17183744 34367488 68734976 137469952