Search a number
-
+
153892157 is a prime number
BaseRepresentation
bin10010010110000…
…11010100111101
3101201120112100112
421023003110331
5303344022112
623134235405
73546030116
oct1113032475
9351515315
10153892157
1179960501
1243655b65
1325b62663
141661d20d
15d79ca22
hex92c353d

153892157 has 2 divisors, whose sum is σ = 153892158. Its totient is φ = 153892156.

The previous prime is 153892129. The next prime is 153892181. The reversal of 153892157 is 751298351.

153892157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82337476 + 71554681 = 9074^2 + 8459^2 .

It is a cyclic number.

It is not a de Polignac number, because 153892157 - 224 = 137114941 is a prime.

It is a super-2 number, since 2×1538921572 = 47365591972225298, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153892127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76946078 + 76946079.

It is an arithmetic number, because the mean of its divisors is an integer number (76946079).

Almost surely, 2153892157 is an apocalyptic number.

It is an amenable number.

153892157 is a deficient number, since it is larger than the sum of its proper divisors (1).

153892157 is an equidigital number, since it uses as much as digits as its factorization.

153892157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 75600, while the sum is 41.

The square root of 153892157 is about 12405.3277667299. The cubic root of 153892157 is about 535.8856927944.

The spelling of 153892157 in words is "one hundred fifty-three million, eight hundred ninety-two thousand, one hundred fifty-seven".