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157138758 = 23371992089
BaseRepresentation
bin10010101110110…
…11111101000110
3101221200110212000
421113123331012
5310211420013
623332010130
73615441330
oct1127337506
9357613760
10157138758
1180778747
1244760946
132672b31a
1416c26450
15dbde973
hex95dbf46

157138758 has 64 divisors (see below), whose sum is σ = 401280000. Its totient is φ = 44649792.

The previous prime is 157138747. The next prime is 157138763. The reversal of 157138758 is 857831751.

157138758 is a `hidden beast` number, since 1 + 571 + 3 + 8 + 75 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74178 + ... + 76266.

It is an arithmetic number, because the mean of its divisors is an integer number (6270000).

Almost surely, 2157138758 is an apocalyptic number.

157138758 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157138758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200640000).

157138758 is an abundant number, since it is smaller than the sum of its proper divisors (244141242).

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

157138758 is a wasteful number, since it uses less digits than its factorization.

157138758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2300 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The square root of 157138758 is about 12535.4999102549. The cubic root of 157138758 is about 539.6279536048.

The spelling of 157138758 in words is "one hundred fifty-seven million, one hundred thirty-eight thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 199 378 398 597 1194 1393 1791 2089 2786 3582 4178 4179 5373 6267 8358 10746 12534 12537 14623 18801 25074 29246 37602 37611 43869 56403 75222 87738 112806 131607 263214 394821 415711 789642 831422 1247133 2494266 2909977 3741399 5819954 7482798 8729931 11224197 17459862 22448394 26189793 52379586 78569379 157138758