357656145 has 96 divisors (see below), whose sum is σ = 750145536. Its totient is φ = 143740800.

The previous prime is 357656111. The next prime is 357656197. The reversal of 357656145 is 541656753.

It is not a de Polignac number, because 357656145 - 2⁹ = 357655633 is a prime.

It is a super-2 number, since 2×357656145² = 255835836112522050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 357656097 and 357656106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249922 + ... + 251348.

It is an arithmetic number, because the mean of its divisors is an integer number (7814016).

Almost surely, 2^357656145 is an apocalyptic number.

357656145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

357656145 is an abundant number, since it is smaller than the sum of its proper divisors (392489391).

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

357656145 is a wasteful number, since it uses less digits than its factorization.

357656145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1484 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 357656145 is about 18911.7990947451. The cubic root of 357656145 is about 709.8314385275.

The spelling of 357656145 in words is "three hundred fifty-seven million, six hundred fifty-six thousand, one hundred forty-five".