134977489920 has 528 divisors, whose sum is σ = 575640636480. Its totient is φ = 28477882368.

The previous prime is 134977489883. The next prime is 134977489943. The reversal of 134977489920 is 29984779431.

134977489920 is a `hidden beast` number, since 13 + 497 + 7 + 48 + 9 + 92 + 0 = 666.

It is a super-3 number, since 3×134977489920³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4177186 + ... + 4209374.

Almost surely, 2^134977489920 is an apocalyptic number.

134977489920 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 134977489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287820318240).

134977489920 is an abundant number, since it is smaller than the sum of its proper divisors (440663146560).

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

134977489920 is a wasteful number, since it uses less digits than its factorization.

134977489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32240 (or 32219 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 134977489920 in words is "one hundred thirty-four billion, nine hundred seventy-seven million, four hundred eighty-nine thousand, nine hundred twenty".