145787177984 has 176 divisors, whose sum is σ = 360871492608. Its totient is φ = 57435291648.

The previous prime is 145787177981. The next prime is 145787177999. The reversal of 145787177984 is 489771787541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (145787177981) 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, 5225897 + ... + 5253719.

It is an arithmetic number, because the mean of its divisors is an integer number (2050406208).

Almost surely, 2^145787177984 is an apocalyptic number.

145787177984 is a gapful number since it is divisible by the number (14) 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 145787177984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180435746304).

145787177984 is an abundant number, since it is smaller than the sum of its proper divisors (215084314624).

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

145787177984 is a wasteful number, since it uses less digits than its factorization.

145787177984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27910 (or 27892 counting only the distinct ones).

The product of its digits is 110638080, while the sum is 68.

The spelling of 145787177984 in words is "one hundred forty-five billion, seven hundred eighty-seven million, one hundred seventy-seven thousand, nine hundred eighty-four".