153664605242120 has 48 divisors (see below), whose sum is σ = 402193584133740. Its totient is φ = 52685007510912.

The previous prime is 153664605242101. The next prime is 153664605242147. The reversal of 153664605242120 is 21242506466351.

It can be written as a sum of positive squares in 2 ways, for example, as 142961670528964 + 10702934713156 = 11956658^2 + 3271534^2 .

It is a super-2 number, since 2×153664605242120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39200152439 + ... + 39200156358.

Almost surely, 2^{153664605242120} is an apocalyptic number.

153664605242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153664605242120 is an abundant number, since it is smaller than the sum of its proper divisors (248528978891620).

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

153664605242120 is a wasteful number, since it uses less digits than its factorization.

153664605242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78400308822 (or 78400308811 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 153664605242120 in words is "one hundred fifty-three trillion, six hundred sixty-four billion, six hundred five million, two hundred forty-two thousand, one hundred twenty".