356157120 has 224 divisors, whose sum is σ = 1277233920. Its totient is φ = 83292160.

The previous prime is 356157107. The next prime is 356157121. The reversal of 356157120 is 21751653.

It is a super-3 number, since 3×356157120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (356157121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305659 + ... + 306821.

Almost surely, 2^356157120 is an apocalyptic number.

356157120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638616960).

356157120 is an abundant number, since it is smaller than the sum of its proper divisors (921076800).

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

356157120 is a wasteful number, since it uses less digits than its factorization.

356157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 356157120 is about 18872.1254764799. The cubic root of 356157120 is about 708.8383570157.

The spelling of 356157120 in words is "three hundred fifty-six million, one hundred fifty-seven thousand, one hundred twenty".