152112669345 has 192 divisors, whose sum is σ = 331692641280. Its totient is φ = 62774839296.

The previous prime is 152112669257. The next prime is 152112669349. The reversal of 152112669345 is 543966211251.

It is a happy number.

152112669345 is a `hidden beast` number, since 1 + 521 + 1 + 26 + 69 + 3 + 45 = 666.

It is not a de Polignac number, because 152112669345 - 2¹¹ = 152112667297 is a prime.

It is a super-2 number, since 2×152112669345² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 152112669345.

It is not an unprimeable number, because it can be changed into a prime (152112669349) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80953116 + ... + 80954994.

It is an arithmetic number, because the mean of its divisors is an integer number (1727565840).

Almost surely, 2^152112669345 is an apocalyptic number.

152112669345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152112669345 is an abundant number, since it is smaller than the sum of its proper divisors (179579971935).

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

152112669345 is a wasteful number, since it uses less digits than its factorization.

152112669345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2333 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 152112669345 in words is "one hundred fifty-two billion, one hundred twelve million, six hundred sixty-nine thousand, three hundred forty-five".