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137952552 = 23317338119
BaseRepresentation
bin10000011100011…
…11110100101000
3100121120201022210
420032033310220
5240303440202
621404445120
73263402013
oct1016176450
9317521283
10137952552
1170963881
123a2497a0
132277143a
141447037a
15c19ec6c
hex838fd28

137952552 has 32 divisors (see below), whose sum is σ = 365169600. Its totient is φ = 43279104.

The previous prime is 137952541. The next prime is 137952601. The reversal of 137952552 is 255259731.

137952552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137952552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168652 + ... + 169467.

It is an arithmetic number, because the mean of its divisors is an integer number (11411550).

Almost surely, 2137952552 is an apocalyptic number.

137952552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137952552 is an abundant number, since it is smaller than the sum of its proper divisors (227217048).

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

137952552 is a wasteful number, since it uses less digits than its factorization.

137952552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338145 (or 338141 counting only the distinct ones).

The product of its digits is 94500, while the sum is 39.

The square root of 137952552 is about 11745.3204298563. The cubic root of 137952552 is about 516.7056926932.

The spelling of 137952552 in words is "one hundred thirty-seven million, nine hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 338119 676238 1014357 1352476 2028714 2704952 4057428 5748023 8114856 11496046 17244069 22992092 34488138 45984184 68976276 137952552