153414820 has 36 divisors (see below), whose sum is σ = 348867540. Its totient is φ = 56644224.

The previous prime is 153414803. The next prime is 153414827. The reversal of 153414820 is 28414351.

It can be written as a sum of positive squares in 6 ways, for example, as 17505856 + 135908964 = 4184^2 + 11658^2 .

It is a super-2 number, since 2×153414820² = 47072213991264800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153414827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19315 + ... + 26074.

It is an arithmetic number, because the mean of its divisors is an integer number (9690765).

Almost surely, 2^153414820 is an apocalyptic number.

153414820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153414820 is an abundant number, since it is smaller than the sum of its proper divisors (195452720).

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

153414820 is a wasteful number, since it uses less digits than its factorization.

153414820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45424 (or 45409 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 153414820 is about 12386.0736313006. The cubic root of 153414820 is about 535.3310554743.

The spelling of 153414820 in words is "one hundred fifty-three million, four hundred fourteen thousand, eight hundred twenty".