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157139136 = 26337111181
BaseRepresentation
bin10010101110111…
…00000011000000
3101221200111101000
421113130003000
5310211423021
623332012000
73615442410
oct1127340300
9357614330
10157139136
1180778a60
1244761000
132672b54b
1416c26640
15dbdeb26
hex95dc0c0

157139136 has 224 divisors, whose sum is σ = 576437760. Its totient is φ = 40780800.

The previous prime is 157139131. The next prime is 157139141. The reversal of 157139136 is 631931751.

It is an interprime number because it is at equal distance from previous prime (157139131) and next prime (157139141).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 157139136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157139131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132466 + ... + 133646.

Almost surely, 2157139136 is an apocalyptic number.

157139136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288218880).

157139136 is an abundant number, since it is smaller than the sum of its proper divisors (419298624).

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

157139136 is a wasteful number, since it uses less digits than its factorization.

157139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1204 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 157139136 is about 12535.5149874267. The cubic root of 157139136 is about 539.6283862993.

The spelling of 157139136 in words is "one hundred fifty-seven million, one hundred thirty-nine thousand, one hundred thirty-six".