153000261360342 has 48 divisors (see below), whose sum is σ = 361645106554368. Its totient is φ = 46362673877040.

The previous prime is 153000261360341. The next prime is 153000261360367. The reversal of 153000261360342 is 243063162000351.

153000261360342 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 0 + 0 + 2 + 6 + 1 + 3 + 603 + 42 = 666.

153000261360342 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153000261360342² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153000261360297 and 153000261360306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153000261360341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176943 + ... + 17493765.

It is an arithmetic number, because the mean of its divisors is an integer number (7534273053216).

Almost surely, 2^{153000261360342} is an apocalyptic number.

153000261360342 is an abundant number, since it is smaller than the sum of its proper divisors (208644845194026).

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

153000261360342 is a wasteful number, since it uses less digits than its factorization.

153000261360342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17361465 (or 17361462 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 153000261360342 in words is "one hundred fifty-three trillion, two hundred sixty-one million, three hundred sixty thousand, three hundred forty-two".