137219604480 has 1224 divisors, whose sum is σ = 602616223872. Its totient is φ = 28236054528.

The previous prime is 137219604439. The next prime is 137219604481. The reversal of 137219604480 is 84406912731.

137219604480 is a `hidden beast` number, since 1 + 37 + 2 + 1 + 9 + 604 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137219604481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5966069749 + ... + 5966069771.

Almost surely, 2^137219604480 is an apocalyptic number.

137219604480 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 137219604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301308111936).

137219604480 is an abundant number, since it is smaller than the sum of its proper divisors (465396619392).

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

137219604480 is an equidigital number, since it uses as much as digits as its factorization.

137219604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

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

The spelling of 137219604480 in words is "one hundred thirty-seven billion, two hundred nineteen million, six hundred four thousand, four hundred eighty".