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157127136 = 2531636741
BaseRepresentation
bin10010101110110…
…01000111100000
3101221122212220120
421113121013200
5310211032021
623331440240
73615362415
oct1127310740
9357585816
10157127136
118076aa41
1244756080
1326725c4a
1416c2210c
15dbdb2c6
hex95d91e0

157127136 has 24 divisors (see below), whose sum is σ = 412458984. Its totient is φ = 52375680.

The previous prime is 157127119. The next prime is 157127137. The reversal of 157127136 is 631721751.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157127097 and 157127106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157127137) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 818275 + ... + 818466.

It is an arithmetic number, because the mean of its divisors is an integer number (17185791).

Almost surely, 2157127136 is an apocalyptic number.

157127136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157127136 is an abundant number, since it is smaller than the sum of its proper divisors (255331848).

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

157127136 is a wasteful number, since it uses less digits than its factorization.

157127136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636754 (or 1636746 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 157127136 is about 12535.0363382002. The cubic root of 157127136 is about 539.6146496290.

Adding to 157127136 its reverse (631721751), we get a palindrome (788848887).

The spelling of 157127136 in words is "one hundred fifty-seven million, one hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1636741 3273482 4910223 6546964 9820446 13093928 19640892 26187856 39281784 52375712 78563568 157127136