145569792 has 192 divisors, whose sum is σ = 432432000. Its totient is φ = 43352064.

The previous prime is 145569791. The next prime is 145569847. The reversal of 145569792 is 297965541.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145569791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385323 + ... + 3385365.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 2^145569792 is an apocalyptic number.

145569792 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 145569792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

145569792 is an abundant number, since it is smaller than the sum of its proper divisors (286862208).

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

145569792 is a wasteful number, since it uses less digits than its factorization.

145569792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The square root of 145569792 is about 12065.2307064556. The cubic root of 145569792 is about 526.0460377907.

The spelling of 145569792 in words is "one hundred forty-five million, five hundred sixty-nine thousand, seven hundred ninety-two".