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138152508004 = 22710487470489
BaseRepresentation
bin1000000010101010000…
…1111111101001100100
3111012121002022120011201
42000222201333221210
54230414020224004
6143244423412244
712660355641160
oct2005241775144
9435532276151
10138152508004
1153654542055
1222936bb4084
1310048bb4274
146988111ca0
1538d89366a4
hex202a87fa64

138152508004 has 24 divisors (see below), whose sum is σ = 276331950720. Its totient is φ = 59202446016.

The previous prime is 138152508001. The next prime is 138152508031. The reversal of 138152508004 is 400805251831.

It is a super-2 number, since 2×1381525080042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138152508001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58392 + ... + 528880.

It is an arithmetic number, because the mean of its divisors is an integer number (11513831280).

Almost surely, 2138152508004 is an apocalyptic number.

138152508004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138152508004 is an abundant number, since it is smaller than the sum of its proper divisors (138179442716).

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

138152508004 is a wasteful number, since it uses less digits than its factorization.

138152508004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480987 (or 480985 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

Adding to 138152508004 its reverse (400805251831), we get a palindrome (538957759835).

The spelling of 138152508004 in words is "one hundred thirty-eight billion, one hundred fifty-two million, five hundred eight thousand, four".

Divisors: 1 2 4 7 14 28 10487 20974 41948 73409 146818 293636 470489 940978 1881956 3293423 6586846 13173692 4934018143 9868036286 19736072572 34538127001 69076254002 138152508004