345157120 has 320 divisors, whose sum is σ = 1103072256. Its totient is φ = 100270080.

The previous prime is 345157079. The next prime is 345157151. The reversal of 345157120 is 21751543.

345157120 = T₁₂₀ + T₁₂₁ + ... + T₁₂₇₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3350989 + ... + 3351091.

Almost surely, 2^345157120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551536128).

345157120 is an abundant number, since it is smaller than the sum of its proper divisors (757915136).

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

345157120 is a wasteful number, since it uses less digits than its factorization.

345157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 345157120 is about 18578.4046677857. The cubic root of 345157120 is about 701.4643630650.

The spelling of 345157120 in words is "three hundred forty-five million, one hundred fifty-seven thousand, one hundred twenty".