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152105142 = 23767191283
BaseRepresentation
bin10010001000011…
…11000010110110
3101121012202000210
421010033002312
5302414331032
623032050250
73524605140
oct1104170266
9347182023
10152105142
117894a932
1242b33986
1325688157
14162b5c90
15d5482cc
hex910f0b6

152105142 has 64 divisors (see below), whose sum is σ = 355958784. Its totient is φ = 42435360.

The previous prime is 152105131. The next prime is 152105143. The reversal of 152105142 is 241501251.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152105143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537333 + ... + 537615.

It is an arithmetic number, because the mean of its divisors is an integer number (5561856).

Almost surely, 2152105142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152105142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177979392).

152105142 is an abundant number, since it is smaller than the sum of its proper divisors (203853642).

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

152105142 is a wasteful number, since it uses less digits than its factorization.

152105142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 152105142 is about 12333.0913399683. The cubic root of 152105142 is about 533.8033544903.

Adding to 152105142 its reverse (241501251), we get a palindrome (393606393).

The spelling of 152105142 in words is "one hundred fifty-two million, one hundred five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 67 134 191 201 283 382 402 469 566 573 849 938 1146 1337 1407 1698 1981 2674 2814 3962 4011 5943 8022 11886 12797 18961 25594 37922 38391 54053 56883 76782 89579 108106 113766 132727 162159 179158 265454 268737 324318 378371 398181 537474 756742 796362 1135113 2270226 3621551 7243102 10864653 21729306 25350857 50701714 76052571 152105142