145557090 has 192 divisors, whose sum is σ = 463656960. Its totient is φ = 30965760.

The previous prime is 145557067. The next prime is 145557091. The reversal of 145557090 is 90755541.

145557090 is a `hidden beast` number, since 14 + 5 + 557 + 0 + 90 = 666.

It is not an unprimeable number, because it can be changed into a prime (145557091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566242 + ... + 566498.

It is an arithmetic number, because the mean of its divisors is an integer number (2414880).

Almost surely, 2^145557090 is an apocalyptic number.

145557090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145557090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231828480).

145557090 is an abundant number, since it is smaller than the sum of its proper divisors (318099870).

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

145557090 is a wasteful number, since it uses less digits than its factorization.

145557090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 145557090 is about 12064.7043063641. The cubic root of 145557090 is about 526.0307369259.

The spelling of 145557090 in words is "one hundred forty-five million, five hundred fifty-seven thousand, ninety".