345142153242000 has 240 divisors, whose sum is σ = 1217401812123120. Its totient is φ = 91126640640000.

The previous prime is 345142153241993. The next prime is 345142153242053. The reversal of 345142153242000 is 242351241543.

It is a happy number.

345142153242000 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 421 + 5 + 3 + 24 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10303098504336 + 334839054737664 = 3209844^2 + 18298608^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×345142153242000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93105585 + ... + 96741584.

It is an arithmetic number, because the mean of its divisors is an integer number (5072507550513).

Almost surely, 2^{345142153242000} is an apocalyptic number.

345142153242000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345142153242000 is an abundant number, since it is smaller than the sum of its proper divisors (872259658881120).

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

345142153242000 is a wasteful number, since it uses less digits than its factorization.

345142153242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189847299 (or 189847280 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 345142153242000 in words is "three hundred forty-five trillion, one hundred forty-two billion, one hundred fifty-three million, two hundred forty-two thousand".