145952851536 has 100 divisors (see below), whose sum is σ = 423607932000. Its totient is φ = 48515277888.

The previous prime is 145952851423. The next prime is 145952851547. The reversal of 145952851536 is 635158259541.

145952851536 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 52 + 8 + 51 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 308415 + ... + 622113.

It is an arithmetic number, because the mean of its divisors is an integer number (4236079320).

Almost surely, 2^145952851536 is an apocalyptic number.

145952851536 is a gapful number since it is divisible by the number (16) 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 145952851536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211803966000).

145952851536 is an abundant number, since it is smaller than the sum of its proper divisors (277655080464).

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

145952851536 is a wasteful number, since it uses less digits than its factorization.

145952851536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314078 (or 314063 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The spelling of 145952851536 in words is "one hundred forty-five billion, nine hundred fifty-two million, eight hundred fifty-one thousand, five hundred thirty-six".