145177920 has 168 divisors, whose sum is σ = 518123424. Its totient is φ = 38693376.

The previous prime is 145177919. The next prime is 145177927. The reversal of 145177920 is 29771541.

It is a happy number.

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 (145177927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76827 + ... + 78693.

It is an arithmetic number, because the mean of its divisors is an integer number (3084068).

Almost surely, 2^145177920 is an apocalyptic number.

145177920 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 145177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259061712).

145177920 is an abundant number, since it is smaller than the sum of its proper divisors (372945504).

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

145177920 is an equidigital number, since it uses as much as digits as its factorization.

145177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1877 counting only the distinct ones).

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

The square root of 145177920 is about 12048.9800398208. The cubic root of 145177920 is about 525.5735772043.

The spelling of 145177920 in words is "one hundred forty-five million, one hundred seventy-seven thousand, nine hundred twenty".