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153520133140 = 225112683260089
BaseRepresentation
bin1000111011111010000…
…0110101010000010100
3112200021002012210202001
42032332200311100110
510003402123230030
6154305353125044
714043241413043
oct2167640652024
9480232183661
10153520133140
115a1201272a0
12259056b9784
131162794798a
1476050b055a
153ed7b66cca
hex23be835414

153520133140 has 48 divisors (see below), whose sum is σ = 351833106240. Its totient is φ = 55804481280.

The previous prime is 153520133099. The next prime is 153520133141. The reversal of 153520133140 is 41331025351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153520133099 and 153520133108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153520133141) 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 15 ways as a sum of consecutive naturals, for example, 460216 + ... + 720304.

It is an arithmetic number, because the mean of its divisors is an integer number (7329856380).

Almost surely, 2153520133140 is an apocalyptic number.

153520133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153520133140 is an abundant number, since it is smaller than the sum of its proper divisors (198312973100).

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

153520133140 is a wasteful number, since it uses less digits than its factorization.

153520133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262792 (or 262790 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 153520133140 its reverse (41331025351), we get a palindrome (194851158491).

The spelling of 153520133140 in words is "one hundred fifty-three billion, five hundred twenty million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2683 5366 10732 13415 26830 29513 53660 59026 118052 147565 260089 295130 520178 590260 1040356 1300445 2600890 2860979 5201780 5721958 11443916 14304895 28609790 57219580 697818787 1395637574 2791275148 3489093935 6978187870 7676006657 13956375740 15352013314 30704026628 38380033285 76760066570 153520133140