137429100900 has 1152 divisors, whose sum is σ = 576203120640. Its totient is φ = 27307653120.

The previous prime is 137429100863. The next prime is 137429100901. The reversal of 137429100900 is 9001924731.

137429100900 is a `hidden beast` number, since 137 + 429 + 10 + 0 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137429100901) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 469041154 + ... + 469041446.

It is an arithmetic number, because the mean of its divisors is an integer number (500176320).

Almost surely, 2^137429100900 is an apocalyptic number.

137429100900 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 137429100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288101560320).

137429100900 is an abundant number, since it is smaller than the sum of its proper divisors (438774019740).

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

137429100900 is a wasteful number, since it uses less digits than its factorization.

137429100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 137429100900 in words is "one hundred thirty-seven billion, four hundred twenty-nine million, one hundred thousand, nine hundred".