145771920 has 320 divisors, whose sum is σ = 594247680. Its totient is φ = 32140800.

The previous prime is 145771877. The next prime is 145771931. The reversal of 145771920 is 29177541.

It is a happy number.

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468565 + ... + 468875.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^145771920 is an apocalyptic number.

145771920 is a gapful number since it is divisible by the number (10) 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 145771920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297123840).

145771920 is an abundant number, since it is smaller than the sum of its proper divisors (448475760).

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

145771920 is a wasteful number, since it uses less digits than its factorization.

145771920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 145771920 is about 12073.6042671607. The cubic root of 145771920 is about 526.2894020595.

The spelling of 145771920 in words is "one hundred forty-five million, seven hundred seventy-one thousand, nine hundred twenty".