149252589360 has 1600 divisors, whose sum is σ = 675136788480. Its totient is φ = 29740400640.

The previous prime is 149252589359. The next prime is 149252589401. The reversal of 149252589360 is 63985252941.

149252589360 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 52 + 589 + 3 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 149252589297 and 149252589306.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 893727997 + ... + 893728163.

Almost surely, 2^149252589360 is an apocalyptic number.

149252589360 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 149252589360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337568394240).

149252589360 is an abundant number, since it is smaller than the sum of its proper divisors (525884199120).

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

149252589360 is a wasteful number, since it uses less digits than its factorization.

149252589360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 149252589360 in words is "one hundred forty-nine billion, two hundred fifty-two million, five hundred eighty-nine thousand, three hundred sixty".