145742688 has 288 divisors, whose sum is σ = 523950336. Its totient is φ = 37407744.

The previous prime is 145742669. The next prime is 145742689. The reversal of 145742688 is 886247541.

145742688 is a `hidden beast` number, since 14 + 574 + 2 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145742688² = 42481862210930688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145742689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755895 + ... + 1755977.

It is an arithmetic number, because the mean of its divisors is an integer number (1819272).

Almost surely, 2^145742688 is an apocalyptic number.

145742688 is a gapful number since it is divisible by the number (18) 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 145742688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261975168).

145742688 is an abundant number, since it is smaller than the sum of its proper divisors (378207648).

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

145742688 is a wasteful number, since it uses less digits than its factorization.

145742688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 145742688 is about 12072.3936317534. The cubic root of 145742688 is about 526.2542203403.

The spelling of 145742688 in words is "one hundred forty-five million, seven hundred forty-two thousand, six hundred eighty-eight".