134974610820 has 240 divisors, whose sum is σ = 504949471488. Its totient is φ = 29509920000.

The previous prime is 134974610809. The next prime is 134974610831. The reversal of 134974610820 is 28016479431.

134974610820 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 7 + 4 + 610 + 8 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (134974610809) and next prime (134974610831).

It is a super-2 number, since 2×134974610820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2070 + ... + 519570.

Almost surely, 2^134974610820 is an apocalyptic number.

134974610820 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 134974610820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252474735744).

134974610820 is an abundant number, since it is smaller than the sum of its proper divisors (369974860668).

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

134974610820 is a wasteful number, since it uses less digits than its factorization.

134974610820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517552 (or 517541 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 134974610820 in words is "one hundred thirty-four billion, nine hundred seventy-four million, six hundred ten thousand, eight hundred twenty".