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157347138 = 2313171071109
BaseRepresentation
bin10010110000011…
…10110101000010
3101222002001200210
421120032311002
5310240102023
623340254550
73620300004
oct1130166502
9358061623
10157347138
1180900263
1244841456
13267a2120
1416c7c374
15dc31593
hex960ed42

157347138 has 64 divisors (see below), whose sum is σ = 362517120. Its totient is φ = 45100032.

The previous prime is 157347119. The next prime is 157347143. The reversal of 157347138 is 831743751.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 157347096 and 157347105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141328 + ... + 142436.

It is an arithmetic number, because the mean of its divisors is an integer number (5664330).

Almost surely, 2157347138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157347138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181258560).

157347138 is an abundant number, since it is smaller than the sum of its proper divisors (205169982).

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

157347138 is a wasteful number, since it uses less digits than its factorization.

157347138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251.

The product of its digits is 70560, while the sum is 39.

The square root of 157347138 is about 12543.8087517309. The cubic root of 157347138 is about 539.8663798335.

The spelling of 157347138 in words is "one hundred fifty-seven million, three hundred forty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 107 214 221 321 442 642 663 1109 1326 1391 1819 2218 2782 3327 3638 4173 5457 6654 8346 10914 14417 18853 23647 28834 37706 43251 47294 56559 70941 86502 113118 118663 141882 237326 245089 355989 490178 711978 735267 1470534 1542619 2017271 3085238 4034542 4627857 6051813 9255714 12103626 26224523 52449046 78673569 157347138