145214784 has 336 divisors, whose sum is σ = 512576064. Its totient is φ = 38707200.

The previous prime is 145214767. The next prime is 145214789. The reversal of 145214784 is 487412541.

It is a happy number.

145214784 is a `hidden beast` number, since 14 + 521 + 47 + 84 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145214789) 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, 3377067 + ... + 3377109.

It is an arithmetic number, because the mean of its divisors is an integer number (1525524).

Almost surely, 2^145214784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145214784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256288032).

145214784 is an abundant number, since it is smaller than the sum of its proper divisors (367361280).

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

145214784 is a wasteful number, since it uses less digits than its factorization.

145214784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 145214784 is about 12050.5096987638. The cubic root of 145214784 is about 525.6180584970.

The spelling of 145214784 in words is "one hundred forty-five million, two hundred fourteen thousand, seven hundred eighty-four".