145767552 has 192 divisors, whose sum is σ = 461399040. Its totient is φ = 40642560.

The previous prime is 145767547. The next prime is 145767577. The reversal of 145767552 is 255767541.

It is a happy number.

145767552 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (294000) is a multiple of the sum of its prime divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1147713 + ... + 1147839.

It is an arithmetic number, because the mean of its divisors is an integer number (2403120).

Almost surely, 2^145767552 is an apocalyptic number.

145767552 is a gapful number since it is divisible by the number (12) 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 145767552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230699520).

145767552 is an abundant number, since it is smaller than the sum of its proper divisors (315631488).

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

145767552 is a wasteful number, since it uses less digits than its factorization.

145767552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its digits is 294000, while the sum is 42.

The square root of 145767552 is about 12073.4233753315. The cubic root of 145767552 is about 526.2841453199.

The spelling of 145767552 in words is "one hundred forty-five million, seven hundred sixty-seven thousand, five hundred fifty-two".