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153542120140 = 225174347439509
BaseRepresentation
bin1000111011111111010…
…0101101001011001100
3112200022121120212020101
42032333310231023030
510003423240321030
6154311500300444
714043626326063
oct2167764551314
9480277525211
10153542120140
115a131584472
1225910b41724
131162c375636
147607d951da
153ed9a5b7ca
hex23bfd2d2cc

153542120140 has 192 divisors, whose sum is σ = 358293196800. Its totient is φ = 55024349184.

The previous prime is 153542120101. The next prime is 153542120141. The reversal of 153542120140 is 41021245351.

It is a junction number, because it is equal to n+sod(n) for n = 153542120099 and 153542120108.

It is not an unprimeable number, because it can be changed into a prime (153542120141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301654206 + ... + 301654714.

It is an arithmetic number, because the mean of its divisors is an integer number (1866110400).

Almost surely, 2153542120140 is an apocalyptic number.

153542120140 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 153542120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179146598400).

153542120140 is an abundant number, since it is smaller than the sum of its proper divisors (204751076660).

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

153542120140 is a wasteful number, since it uses less digits than its factorization.

153542120140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 153542120140 its reverse (41021245351), we get a palindrome (194563365491).

The spelling of 153542120140 in words is "one hundred fifty-three billion, five hundred forty-two million, one hundred twenty thousand, one hundred forty".