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152138700 = 2232527193141
BaseRepresentation
bin10010001000101…
…11001111001100
3101121021110001200
421010113033030
5302421414300
623032505500
73525105030
oct1104271714
9347243050
10152138700
117897306a
1242b4b290
132569a4cc
14162c41c0
15d553200
hex91173cc

152138700 has 432 divisors, whose sum is σ = 606627840. Its totient is φ = 31104000.

The previous prime is 152138683. The next prime is 152138713. The reversal of 152138700 is 7831251.

It is a nialpdrome in base 15.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3710680 + ... + 3710720.

Almost surely, 2152138700 is an apocalyptic number.

152138700 is a gapful number since it is divisible by the number (10) 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 152138700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303313920).

152138700 is an abundant number, since it is smaller than the sum of its proper divisors (454489140).

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

152138700 is a wasteful number, since it uses less digits than its factorization.

152138700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 152138700 is about 12334.4517510913. The cubic root of 152138700 is about 533.8426081617.

Adding to 152138700 its reverse (7831251), we get a palindrome (159969951).

The spelling of 152138700 in words is "one hundred fifty-two million, one hundred thirty-eight thousand, seven hundred".