Search a number
-
+
137557150 = 25219294993
BaseRepresentation
bin10000011001011…
…11010010011110
3100120211121221021
420030233102132
5240203312100
621352154354
73260134153
oct1014572236
9316747837
10137557150
11707137a5
123a0989ba
1322663483
14143aa22a
15c122a1a
hex832f49e

137557150 has 48 divisors (see below), whose sum is σ = 278665200. Its totient is φ = 50319360.

The previous prime is 137557139. The next prime is 137557151. The reversal of 137557150 is 51755731.

137557150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1375571502 = 37843939032245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137557151) 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, 25054 + ... + 30046.

It is an arithmetic number, because the mean of its divisors is an integer number (5805525).

Almost surely, 2137557150 is an apocalyptic number.

137557150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137557150 is an abundant number, since it is smaller than the sum of its proper divisors (141108050).

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

137557150 is a wasteful number, since it uses less digits than its factorization.

137557150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 18375, while the sum is 34.

The square root of 137557150 is about 11728.4760305847. The cubic root of 137557150 is about 516.2115566822.

The spelling of 137557150 in words is "one hundred thirty-seven million, five hundred fifty-seven thousand, one hundred fifty".

Divisors: 1 2 5 10 19 25 29 38 50 58 95 145 190 290 475 551 725 950 1102 1450 2755 4993 5510 9986 13775 24965 27550 49930 94867 124825 144797 189734 249650 289594 474335 723985 948670 1447970 2371675 2751143 3619925 4743350 5502286 7239850 13755715 27511430 68778575 137557150